{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from sklearn import datasets\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h2><font color=\"darkblue\">Support Vector Machine</font></h2>\n",
    "<hr/>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Preliminaries"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Linearly separable\n",
    "> Let $ S_0 $ and $ S_1 $ be two sets of points in an $ n $-dimensional Euclidean space. We say $ S_0 $ and $ S_1 $ are linearly separable if $ \\quad \\exists w_1, w_2, \\cdots, w_n, k \\quad $ such that $ \\qquad \\forall x \\in S_0 $, $ \\displaystyle \\sum_{i=1}^{n} w_i x_i > k \\quad $ and $ \\quad \\forall x \\in S_1 $, $ \\displaystyle \\sum_{i=1}^{n} w_i x_i < k \\quad $ where $ x_i $ is the $ i $-th component of $ x $.\n",
    "\n",
    "  - Example: Linearly separable\n",
    "  <img src=\"http://i.imgur.com/aLZlG.png\" width=200 >\n",
    "  \n",
    "  - Example: Not linearly separable\n",
    "  <img src=\"http://i.imgur.com/gWdPX.png\" width=200 >\n",
    "\n",
    "<p style=\"text-align:center\">(Picture from https://www.reddit.com/r/MachineLearning/comments/15zrpp/please_explain_support_vector_machines_svm_like_i/)</p>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Support Vector Machine (Hard-margin)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Intuition: Find an optimal hyperplane that could maximize margin between different classes\n",
    "\n",
    "<img src=\"https://upload.wikimedia.org/wikipedia/commons/b/b5/Svm_separating_hyperplanes_%28SVG%29.svg\" width=300 align=center>\n",
    "<p style=\"text-align:center\">(Picture from https://en.wikipedia.org/wiki/Support_vector_machine)</p>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Data\n",
    "> $ \\displaystyle \\{(\\mathbf{x}_i, y_i) \\}_{i=1}^{n} \\qquad $ where $ \\displaystyle \\qquad \\mathbf{x}_i \\in \\mathbb{R}^d, \\  y_i \\in \\{-1, 1 \\} $\n",
    "\n",
    "- Linearly separable if \n",
    "> $ \\displaystyle \\exists (\\mathbf{w}, b) \\quad $ such that $ \\displaystyle \\quad y_i = \\text{sign} \\left(\\langle \\mathbf{w}, \\mathbf{x}_i \\rangle + b \\right) \\quad \\forall i $ \n",
    "> \n",
    "> $ \\displaystyle \\exists (\\mathbf{w}, b) \\quad $ such that $ \\displaystyle \\quad y_i \\left(\\langle \\mathbf{w}, \\mathbf{x}_i \\rangle + b \\right) > 0 \\quad \\forall i $ \n",
    "\n",
    "- Margin\n",
    "> The margin of a hyperplane w.r.t training data is the minimal distance between a point in the training data and the hyperplane.\n",
    "> \n",
    "> In this sense, if a hyperplane has a large margin, then it still could separate the training data even if we slightly perturb each data point.\n",
    "\n",
    "- Recall\n",
    "> The distance between a point $ \\mathbf{x} $ and the hyperplane defined by $ \\quad (\\mathbf{w}, b) \\quad $ where $ \\quad \\lvert\\lvert \\mathbf{w} \\rvert\\rvert = 1 \\quad $ is $ \\quad \\lvert \\langle \\mathbf{w}, \\mathbf{x} \\rangle + b \\rvert $\n",
    "\n",
    "- **Hard-SVM**: Fit a hyperplane that separates the training data with the largest possible margin\n",
    "> $ \\displaystyle \\max_{\\mathbf{w}, b: \\lvert\\lvert \\mathbf{w} \\rvert\\rvert = 1}  \\min\\limits_{i \\in [n]} \\lvert \\langle \\mathbf{w}, \\mathbf{x}_i \\rangle + b \\rvert \\quad $ such that $ \\displaystyle \\quad y_i(\\langle \\mathbf{w}, \\mathbf{x}_i \\rangle + b) > 0 \\quad \\forall i $\n",
    "\n",
    "- Example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import svm\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Generate 100 separable points\n",
    "x, y = datasets.make_blobs(n_samples=100, centers=2, random_state=3)\n",
    "plt.scatter(x[:,0], x[:,1], c=y);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVC(C=1000, cache_size=200, class_weight=None, coef0=0.0,\n",
       "  decision_function_shape='ovr', degree=3, gamma='auto_deprecated',\n",
       "  kernel='linear', max_iter=-1, probability=False, random_state=None,\n",
       "  shrinking=True, tol=0.001, verbose=False)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Fit SVM\n",
    "clf = svm.SVC(kernel='linear', C=1000)\n",
    "clf.fit(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create grid to evaluate model\n",
    "xx = np.linspace(x[:,0].min()-0.5, x[:,0].max()+0.5, 30)\n",
    "yy = np.linspace(x[:,1].min()-0.5, x[:,1].max()+0.5, 30)\n",
    "YY, XX = np.meshgrid(yy, xx)\n",
    "xy = np.vstack([XX.ravel(), YY.ravel()]).T\n",
    "Z = clf.decision_function(xy).reshape(XX.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot decision boundary and margins\n",
    "plt.contour(XX, YY, Z, colors='k', levels=[-1, 0, 1], alpha=0.5, linestyles=['--', '-', '--']);\n",
    "plt.scatter(x[:,0], x[:,1], c=y);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Support Vector Machine (Soft-margin)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- **Hard-SVM**: Fit a hyperplane that separates the training data with the largest possible margin\n",
    "> $ \\displaystyle \\min_{\\mathbf{w}, b} \\ \\lvert\\lvert \\mathbf{w} \\rvert\\rvert^2 \\quad $ such that $ \\displaystyle \\quad y_i(\\langle \\mathbf{w}, \\mathbf{x}_i \\rangle + b) > 1 \\quad \\forall i $\n",
    "\n",
    "- **Soft-SVM**: Relax the condition\n",
    "> $ \\displaystyle \\min_{\\mathbf{w}, b, \\zeta} \\lambda \\lvert\\lvert \\mathbf{w} \\rvert\\rvert^2 + \\frac{1}{n} \\sum_{i=1}^{n} \\zeta_i \\qquad $ such that $ \\displaystyle \\quad y_i(\\langle \\mathbf{w}, \\mathbf{x}_i \\rangle + b) \\ge 1 - \\zeta_i \\quad $ where $ \\displaystyle \\quad \\lambda > 0, \\  \\zeta_i \\ge 0 $"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Kernel trick\n",
    "> Map the original space into feature space (possibly of higher dimension) where data could be linearly separable.\n",
    "> \n",
    "> The kernel function transform the data into a higher dimensional feature space to make it possible to perform the linear separation.\n",
    "\n",
    "<img src=\"http://i.imgur.com/WuxyO.png\" width=300 align=center>\n",
    "<p style=\"text-align:center\">(Picture from https://www.reddit.com/r/MachineLearning/comments/15zrpp/please_explain_support_vector_machines_svm_like_i/)</p>\n",
    "\n",
    "<img src=\"https://cdn-images-1.medium.com/max/1600/1*C3j5m3E3KviEApHKleILZQ.png\" width=300 align=center>\n",
    "    We can just project this by mapping kernel using $x^2+y^2=z$\n",
    "\n",
    "<img src=\"https://cdn-images-1.medium.com/max/1600/1*FLolUnVUjqV0EGm3CYBPLw.png\" width=300 align=center>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1,  1,  1,  1,  1,  1,  1, -1, -1, -1, -1, -1, -1, -1,  1,  1,  1,\n",
       "        1,  1,  1,  1])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Toy Example: not linearly separable in original space (dimension=1)\n",
    "x = np.arange(-10, 11)\n",
    "y = np.repeat(-1, x.size)\n",
    "y[np.abs(x) > 3] = 1\n",
    "plt.scatter(x, np.repeat(0, x.size), c=y);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> $ \\displaystyle \\phi: \\mathbb{R} \\rightarrow \\mathbb{R}^2 $ \n",
    ">\n",
    "> $ \\displaystyle \\phi(x) = (x, x^2) $ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Kernel trick: linearly separable in feature space (dimension=2)\n",
    "plt.scatter(x, x**2, c=y);\n",
    "plt.axhline(y=12.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Some kernels\n",
    "> Polynomial kernel: $ \\displaystyle \\qquad K(x, x^\\prime) = \\left(1 + \\langle x, x^\\prime \\rangle \\right)^d $\n",
    "> \n",
    "> (Gaussian) radial basis function kernel (RBF): $ \\displaystyle \\qquad K(x, x^\\prime) = \\exp \\left(- \\frac{\\lvert\\lvert x - x^\\prime \\rvert\\rvert^2}{2 \\sigma^2} \\right) = \\exp (- \\gamma \\lvert\\lvert x - x^\\prime \\rvert\\rvert^2) \\qquad $ where $ \\displaystyle \\qquad \\gamma = \\frac{1}{2 \\sigma^2} $\n",
    "> \n",
    "> "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Choice of kernel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import cross_val_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x, y = datasets.make_circles(n_samples=1000, factor=0.3, noise=0.1, random_state=2018)\n",
    "plt.subplot(111, aspect='equal'); \n",
    "plt.scatter(x[:,0], x[:,1], c=y);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create grid to evaluate model\n",
    "xx = np.linspace(x[:,0].min()-0.5, x[:,0].max()+0.5, 30)\n",
    "yy = np.linspace(x[:,1].min()-0.5, x[:,1].max()+0.5, 30)\n",
    "YY, XX = np.meshgrid(yy, xx)\n",
    "xy = np.vstack([XX.ravel(), YY.ravel()]).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10-fold cv scores with Linear kernel:  0.6249999999999999\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Linear kernel\n",
    "clf = svm.SVC(kernel='linear')\n",
    "clf.fit(x,y)\n",
    "Z = clf.decision_function(xy).reshape(XX.shape)\n",
    "\n",
    "# Plot decision boundary and margins\n",
    "plt.contour(XX, YY, Z, colors='k', levels=[-1, 0, 1], alpha=0.5, linestyles=['--', '-', '--']);\n",
    "plt.scatter(x[:,0], x[:,1], c=y);\n",
    "print('10-fold cv scores with Linear kernel: ', np.mean(cross_val_score(clf, x, y, cv=10)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10-fold cv scores with Polynomial kernel:  0.5670000000000001\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Polynomial kernel\n",
    "clf = svm.SVC(kernel='poly', gamma='auto')\n",
    "clf.fit(x,y)\n",
    "Z = clf.decision_function(xy).reshape(XX.shape)\n",
    "\n",
    "# Plot decision boundary and margins\n",
    "plt.contour(XX, YY, Z, colors='k', levels=[-1, 0, 1], alpha=0.5, linestyles=['--', '-', '--']);\n",
    "plt.scatter(x[:,0], x[:,1], c=y);\n",
    "print('10-fold cv scores with Polynomial kernel: ', np.mean(cross_val_score(clf, x, y, cv=10)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10-fold cv scores with RBF kernel:  1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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r/jhNOzXm5e+eyivCsnvTvlILfwC9sRjhbzFQo1F1stNyCv2cjH4GRk8dzIJXlpf6/qVBcSssnvY9TpuTDV9uJrR6sM8Vk8vlZtvKnfQa0+NfHY/Kv0NFRQENL+a8BCZVxL1Uys+3r6/0uRnKaXeRGp/Os3e8zqLo2QRcttM2LirBZ38Ou5Pk2FSq16uad2z/b4d5oc9buJxuXA4Xf671JE4rjaO33AhoG3k9YT5y+JeEiw7Tw38e4/UhM3n355cBOLLzeKn7MloMhTutBbTu3oLug7vQa2wPDv5+lGd7veGzqS3bztznFlGiJETlxHlhxZSbbSM+OslnlTRHroPUuLRC+8hMycJhd1IlIkT1F/wHUVNBVDKklKTGF/6DBbDnOPhh7lav4/Va1PbR2pPs7P5WT3Jk54m8e7x970fYcux5QtTmIyKnMHQGncfMUU50eh19H+yFwahn1EuDMJYgB7+vnbUuh5tDO46RHOuZlddqXKNUwkyn1/LCoieIaFDd5/mgsEDe3fwyfR+8HaPZSPtbW/PwR+MK7c/tVlAUpUC1sPIKV41WgyXQjMGk9/kZuJ1uT52Dy1AUhYZt6nkdT45N4YnuUxlacwJjGj3M2CaPcvjP0itOlX8XVQFUMoQQ1GjoWxBdRErJD19t9jo+ftpIT/iiD2zZdp674w3cbjcJ0UlkJGX67NeXEPFup6DVl87JavI3EjmqWwFBKBWFl/pOJz0pg6FP9+Oxz+4vsqRjQKg/NRtHoEgFp3TkOaqd0oFNk83fu/Zy5MgRghv74TBaUaRnRu+QNrJlBlkyHZsuB5u04pD2vOsNJgPtb2/NuGkjMJoLfn5Gi5Exrw7JG7c1K5ePHp7DvBcXF/0ZXVhJBYUH4hdkIXLUzUz55hFM/t7FYkrChHdH8fS8STwz/+HClYmvxZuEjx75Cof9kklMURQm93iZwzuOeXIw2ZycPxnPs71eL3OZTpV/B1UBVEIeePdeL0F0ObEn4zzOSCk5vT+ag9uPULNxdTre2bbQa3IyrRz6/Rhulxu7zfds3y/IgtFi8Fnr9iJup1Ly/D4XcNldbFv+R4HoIrdLITs9h+8+WA/ALSO60mlga2y6HDJlGi7pWZ1YZTbn5Rl0LR2khsYSrT3GWU7gxPMMVrKIdUazbfcvLF26lNVrV9FiRH0sISYMJj12Qy7Jujga3h1BmjmBeN1ZYjiJFApGi4HuD3fkq7lzOJF2mM4PtkCplksayVSpEcJDH4ylz4TbAI+CfDryVTZ+tZmcDGuxz6w36PhszzusSpvPlPmPcH3XZiiFRDa16dmStpFe8Rl5HNpxnDrNarFt5Z+FmqoKUwzxUYl8/+H6vPf7fjlEWmKGVz8up5sf5m4pdAzRh2OY/8pS5r24mBN/ny60nUrFoWaBqoTc2K8jU1c8xVfPL+T0vsL2WQhijsby+pAZpJxPQ6PVkJttK9r0LOHc8fNsW/mn7x41gvveGE6LLk346Ztf+f7DDYWGg5bWVyA0AplvbG7pRgBOO/yydjuO2pkkJSXxx6+7iXWeASCCuujw+Dk0Og0NGtenfc/WfHpkPo5sF1qnZxUSagnjsdcmcsuImxFC5L2CPwnmyB8nSEtOIzUpjazUbEYPv5cDfx7mn1/207RxUwY92Renxcbhw4exWq0E1fHntse64na7ef755xFCsGrVKqKiorClOtlzcDfYBAZMGEXRs3m9SU9o9eC899XqhtO6ewv2/nLIU0M4r52OUS8NYuFbhRegOX8ynkkdpxQZKVXUd/X9hxv4c90erJm5RDSshvSRhsNpdxJ7wvfezxUz1zLvpSW4nS6kIln5wTr6TbqD+98eXeh4VMqPWhKykjNt5IdsXfq7l8Bt1K4+mclZJMWklCpmf/be93i65ytkpWX7PP99+nz8Ay1kpmUzuOq4UuXoBy6ZkPINSZEKbpMdq8tKrsuKAxtOHIQTQZAmlDZ3NKf1iOuoVq0ayafSmTN5Ea4cNzr0ebNag0nP5/tmUKtxBGkJ6SyfsZY9m/YRXrsKg5+6m9bdW/gcztmjsTzZfSoOmwOX3YVWr6Vl12a8vmZKkVk23W53XqWxffv2cerUKX5atpXN3/2Ky+nCgJHaohEAaTIJicSEBRMWNEKD0WLkwffH0Of+2wr0m5udy4z7Z7P9uz9R3BKtTpOXR8gSYCIzxff3otVrfTp5S4oQIu/vRGfQeQT5ZX82Jj8jD31wH3eOiyxwPPFsEvc1fcxL+RgtBj7Y9gaN2tYv87gqI1c8DFTl6uX+d0ezd+tBcjJzsVvtGEx6dAYd/SbdyaePzy2V8A+pFkR4rVCsWYWYL4QnFw/Ax5Pm+FxN+If40aRjI/7ZfKCActDptfQc3pVhzw3ggbaTychNQ6DBIvyRSM67ogmuFow73onRbSaQEExYMJiN3PvcMFp2bQaAcovC/tXHOLDtSJ6ZyeRn5I77eublwwmpFsyEd0bDO8XPPl8fMoPM5KxL/gKHiwPbDrPqo40MerJvodflLzPZunVrWrduTd2AhpzbkEqmMwuFS8LYYbBRq201slKyiY9LpHp4dYY+PtBL+IMn1DQnLQe9QX/BCX+pn8KEP1Au4Q8FVwcXHf8ajchLPqcz6AiuGkTP4V29rv1j7R6fUU1Om5Pt3+1UFcC/iKoArjEUReHXZX+w8avNuF1ueo3pwa2juqHV+XaqhtUIZe7RD9k0/xeO/nWSus1qcue4SA7tOFbqyJLMlGwGVx9faKpkgcDsZ8LldLHtu524fbTTG3Q8NfchHu3yPNnpOdhy7Jj8jPhVNdF+eDN+2bmZsF4mTq4/T4AuiCqGMBSXwjuzpnNzny5MGzGLI38eR6vXIoTgoQ/uyxP+ABqNhtfXPMuvy3bkFVK/c9wtdOrdrlTPCp6Z6/mT8V5K0m518MPcLUUqAF+0jbye8FrhOE+58wSy0AgaBzVnzrqZpKQnc+rUKU6dOoXeX8v7D3zO0V0nyA3KYPgjg7m51438tmQnB38/WmofSlnRm/S4Ha4CWUYvoiieFYgQAsXtCQde+s4qug/uQt3mtfP+vrQ6rc/JgNBoSh0MoFI6VBPQNca00bPYseqvPAFgtBhp1a0Z9zxxF589+TVnj8QSFBbAkGf6MeiJvoUK+bSEdEbWfygvFrwi0Bt1bMhdjM1qp1/QvT7NP5YAM6szFpBrzWX9Nz9hT3JS//o6HEnaT8y5GMLDw2ncuDHVQqsRdzAFg0FPp97t8A/2y+sjOTaFo3+dxGgx0rRTI6/9DBVFXFQC97d80mfitlrXRTDv6KxS95mRnMmHD37BjjW7kYqkVffmPPH5AwUit07tO8PjXV/EaXeS67QSpzkLWknkyJs5tu006adyCCQEvfDt6C9LLqPL8Q/x4+4Hb8fkb2LRWyuxZZdc4Wj1WkKrBzN1+WSadmpMWkI6oxpM8goTNpgNzP77HWo3qVm+wVYyVBNQJeXk3ih+/35ngd2mdqudfb8eZu+Wg3n1c9MTM1kwdRnWzFzGvDLUZ18h1YIZ+nQ/Vsxcm6dMNDpN8YVQisByIde9yWKkXovanN5f0AEtBNTpEsGSJUs4ffo0LpeLZ555BpPJRP24WphMJkJCQvLat/bxJ56WmMHLA94l+nAMOr0Op93J8OcGMOqlwWUed2FUr1eV0IgQ4k4X3CBnMOmJHHlzmfoMCgtk6vKncLvdIPG5cpv95Nd534lBmKijNMah2Dj3WxJ6vYEMzuJHAHoMnnBWJAbh2QOh0Wqo36oOCVFJ5GRYCY0IIiM5u1S1iY0WI/97czh9J96Ooiis/+InbDlJJcphBB5zU1JMClNue52F0Z8RUi2YJ7+cyMzxn3mypkpPcrtx00aowv9fRg0DvYbYt/WQT7OKI9fhVTzddiGFg6OQcE2AMa8O5cWlT9LpzrbUbV4LTTk3G+W3Mz/55UTM/iZ0Bs8cxGWwk2COxthUITY2ltatWzNs2DD0es+GsIiIiALCvzBeG/Qep/adwW51kJNhxWFzsvSd1fy+6q9yjd0XQgheWPw4lgBzXlit2d9E3Ra1GTT57nL1rdVqCzXbHf6j4IYqIQRGYcYeDU9MeYwmfq0w4snNk04yMZwkTkaTIzMxmPVMXTaZ71O/5kfXUj7b8y56Q8nngXqjjhHPD+CuB3oBHpPau5tfpnoZ0ke73Qpbl/wOQOSIm/k26lMefH8sD7x3L/OOzWLgo31K3adK6VBXANcQAaH+6A26ks/mJKQlZBSZ+71z73Z07t2O5+54g+jD58o1vtpNauT9v0nHRry19Vl+nPcLqWcyqNe2Fq5qVnpEdqdJkyZlSjOdGJPM8d2nvByathw7K2au5ab+xeYfLDVNOjbim6hP2LxwG4lnk7m+azM692lXqPCuCPyCLDhsGV7HDUY9kaO6seuHvexc/zdup4uqIgK9w4DVkImujos2/RsQnRiVl8o5pFow0ze9xLSRH5J0LqVYZ/D13Zox4vl7ChyLqF+Nj/6axrAaE3xOQArDbrWTnnDpOUKqBdP7/ltLfL1K+VEVwDVE14Gd+eSxuV7H80djFEB4IndKQvyZpHKNTaPTMOa1oSiKwvHjx9m5cydRUVE0uakJkz+umDRR2Wk5HqehD79FZop3dbCKIjA0gAGP9P7X+r+cAY/1ZuEbKwuY+gxmA3eOj0Sv1/HS0ic5tvsU+389TFBYAF0HdsbkZ+T48ePs3r2b9HRPiUopJTExMVSpEULv+yOJOXqen775tVBTjkarIaK+753Un09e4NufJCi0P5OfCafdycOdnyUnw0qXuzsybEp/AqsElObjADzhrz8t+I3DfxyjdtMa3DkuktDqxa8YKzuqE/ga4/Cfx3llwDvYrHaEEGh1Wka+eA/zXlhcwFlptBgZNPkuxr46zGc/iqIUmIXPnDCbH+dt8VlnN48ifuwI6PZARwKuM5Cenk5QUBCdOnWibdu2WCyWMjypNy6ni0FVx3ntotUZdAx4tLcntPMawO1289GkOWxa8CsGox6H3clN/Try9NcPYzAWn0NJSokQgujoaF579g3+XPkPwVTB7Azw5AEq5DvU6jTUalKDZjdcx9Cn+1Hruksrut7mEQU2nxXAx9+F0WIgMDSAzNSsPEWmN+gIqR7MF/tn5NVGLglpCemegvdpnqgxg0mPVq9jxtZXaNyuQYn7uVYojRNYVQDXCMd2neTX5TsQGg3dB3dBcSu4XQpNOzVCq9Oy56d9eVFAgVUCGPpMPwY9WTAKSErJ0ndWs+zd1WSlZlPruggefP8+Ot3ZlvgziYxv8UShpQo1Wg31W9bm1GU7i93ShQZPSKbVmEGP+7sw6sFhZTbzFMfmRdt4f8JsHLmeNBYGk56AKgHM/vsdgsMLX+0oikJWVhbp6elkZGTkvaxWa55T8uJLURSvYxdfZrOZgICAAq/AwEACAgIwm80VmhEzPSmDc8fjiGhQjSoRpZ/tZmdm0ydiGEnWOGzkosdAKFXxI7DAODVaDYpbKbCS1Gg13Dk+kmadG9N1YGfuCftfkQV2DGYDg5+6m7/W70FKuGlgJxa+vtLLXGk0Gxj7+rBShdDOuP8zfpr/q9f9619fhy/2zShxP9cKqgKoZHw55RtWf/IjjlwHQnhis4dO6c/oUka+fP70AtZ8+mOBcDyj2cCbG56ndfcWrHx/HbOfmu9zhqjRatDptXm7ORWpkEEK6aQQRnUCRDBSSlrc1IQPt79ZructjqN/nWDlB+tJPJtMx9tbc/ekOwgMDcBmsxEbG0taWhoZGRkFhH1mZqZXPL/FYsHPzw+NRlMgBURhL4Dc3FyysrKwWr03w2m12gKKISgoiBo1alCrVi2Cg4OveLrk3Zv28fqQGeRkWLGSTRqJuHFRm8ZohOeZW/VoTna6lVP/RPnsw2DSo9VpadCqLkf+PO7b1Ignmmn4c/0Zc2HF+cfa3Uwf/RHWTO/PqX2v1tz3+jDWfb6JzNRsuvbvTI9hN6I3+F7d3FP1f2Qme5v4dHoty+Ln/GthwP9V1DDQSsTp/dGs/viHvJm5lJ6NSEumfc8tw7tSs1FEsX1Ys3KZPmoWf6z1Vrb2XAfzX17GzF9e5bYx3Znz3EKfTuYWNzbxRN/kOsginTSScOHEj8C8iBQGKLKCAAAgAElEQVQhBCf/9i1IKpKmnRrz/MLHSE9PJyYmht92/MrZs2dJSkrKE/IajYagoCCCgoKoV69e3v+Dg4MJCgoiMDAQg6HohHlF4XK5yM7OJisry+crKSmJ48eP43J5Pks/Pz9q1qxJzZo1qVWrFjVr1sRkKltmz5Ki1XlWYEII/AjAIv1x4kAjPKGYiTKWA3sk5BS+UvMofCfRh88RFB5IVlqOz78Pxe0mN99egSo1QlDc3isGjVaDLcfG5J4v47B5KqP9/dN+1s7+kRm/vOpTCRhMhX9PulJEOFVG1E/nKmfHml1eIZ7gSdD159o93PPEXcX2MW3kh+zetLfQ8zFHPeWbA0MDeOKLB3h/wmxcTnfeSqB5l+t44ssHmNjmaRKIIYcsTFioSk3Mwq9AX26Xm5P/RP0r2/szMjKIiori9OnTREVFkZXlmRUajUZq165NixYtqF27NmFhYfj7+/8rJqiL6HQ6goODCQ4OLrSN2+0mMTGR2NhYzp07R2xsLMePXwrxDA8Pp27dunmvwMDACh1jy65NvWoKGPDsF3DiIJds4sQZDHozAa4q6ETh4kJRFKbMf5jjf0fx9UtLvDb5GS1GbuzXMe9943YNqF6/GmePnCvQVqvXcvSvkwWikWw5dqIOnGXLou3cPran17373B/J4umrCqxctXotbW9thdnv31WiVzuqArjK0Rv0eTba/AitpkSzn/ioBHZv2lcgZ8zl5C8E0+veHrTq1pxflv6O3erghr4daNimLgAd7miDdWMO/rYgLzvyRQwmA/FnEitEAUgpOX36NEePHuX06dOkpHgKtvj5+VG/fn3q1q1L7dq1qVq16r8q7MuKVqslIiKCiIgIOnTwrNhtNhvnz5/n3LlzxMTEcODAAS6aQSMiImjTpg3XX399hTjO9QY9r37/DC/eNQ2HzVEghNMgjDQ2t6DLvW3ZumUrZw+eJFRWI4DCTVU6g57hzw64kPJhNQ6bA6lITH4mbhrQietvvpSSQwjB9B9f5KV+b3N6bxRC4zEhul2Kz1BUW46d31b86VMBDJ3SnyM7T7Lvl4N55rjw2lV4ep5ahLA4VAVwFeJ0OLFm5hIQ6k+3wTew4JWl3o2kpE3PFl7RPBfJTMnivXGf8teGf4p03hktBsa8VnC3cPV6VRk2ZQAAMTExzJ49m+bNm/PikieY/3JNNnz5MzkZVhRF8fIXuF1unxWkSkN2djb//PMPf//9N2lpaRgMBurVq0eHDh1o0KABVatWvWrLD5pMJho0aECDBp7oFUVRSEhIICoqigMHDrBx40Y2bdpEkyZNaNOmDY0aNSqXcmvVrTmLz33O1iW/s2rWBs6fjMdgNuC0O+k9/lYefH8s9+y/m8Ht7iVTphKA7xWNQND8xusAGD11MO17teanBb/isjvpPvQm2t/Wyus72bv1INEHY9BoNbgc7iL3rwgBASF+XsellGxZtJ2YY7EoiqRq7SoMfLwPfSf2umr/Bq4kqhP4P0j0kXMkxaTQsE09Qqpeilxxu9x8+ey3rJu9CcWt4Bdo4YGZY3DkOvjk0bl5y3mn3YnQCAQCv2A/xr89ktvHXJo5uVwuRtefRHJs0dWZAqv48+LSJ2l7y/Ve5xwOB1u2bGHnzp0EBQXRt29fGjZsmHc+MzWLcc2fIDMlK291YrQYuKl/Zx79dDxrP/2RHWt2ERweRP9He9Mu0vse+ZFScurUKfbs2cOxY8dQFIX69evTvn17mjZtik5XOeYy8fHx7N27l/3792O1WvH396d169a0adOG8PDS78a9nMSzSSREJ1OnWU2Cwi6ZnD5+9Cu+/3QDGkWDW7qxkoU/QWi0GjQawU39OzP65cGFlg29nPSkDEbWfbDI+gP5MVqMTP/xRVre1LTA8aXvrmLei0sKrBr0Jh3v//YGTTo0vLybSoEaBXSVkpmaxUt9p3Nq3xl0eh0Ou5O7J/bigRljEELw6ePz2DDn5wIbgBBw79TB3DWxF3+u28O273ay75dDBSN5LAaeX/Q4N97tscE+FfkK+7YeKnY8974yhEGT+3rZUc+fP8/y5ctJS0ujU6dOREZGYjR619tNjk1h7guL2bnhb8z+JvpNuoPb/9eTRzo9R3Jsat6P32gxMvb1oQx6wjv0Lysri71797Jnzx7S09OxWCy0adOG9u3bU6VK2Yq9/9tI535k5nRw7gdhBlN/CJiCRlNxSsrtdnPixAn27t3L8ePHURSFmjVr0qZNG1q2bInZbK6wewG4XG6evuUVDv5+lHQlmVQSCTSEEKZUB7dAo/Vk7rx/+kgGlCCFww9zt/DJY3NLnLV0wrujGXxZeg2nw8ndgaN9mi+b39iED7e/UbKHu8ZQFcBVyvN93uKfn/d7HKwXMFqMPPLxOLoPuZFB4f/zHYcv4OGPxtH+1lZMbPcMdqv3j6pR2/p8/Nc0Vs3ayOdPzS9RNkghBBqdhhZdmjBocl9uuKs9Qgji4uJYuXIlffv2pW7duqV6xmXvrWbBy8u8nsNgMrAs/kv8Ai1X9WxfOo8gU4YAl30HIhwRvgmh8ZgxpGM3Mus9cJ0EbS2E/2MIk7d9uyTk5OSwf/9+9u7dS0JCAjqdjmbNmtG1a1eqVSu8BnJpWDFzLV9PXYrd6ql1nE4yaSShw0A1ahWoXqbRagirEcLQZwdw1wO3+TRRbZizmVmTvixZHQIB9VvW4ZmvHy7gO4o5fp7/NX3M5yUXM89WRq64AhBC3AF8CGiBOVLK6ZedHwu8C8ReOPSxlHJOcf1WJgWQmZrFsBoTfEb01L++Dm+sfZb/NX+84Ow/HxdnYC67y2cRF/8QP1rc2IS/f96P017yzI8XMVj0tB3YjDcWvAR47xQuKU92n8qBbUe8jlsCzUxdMRlNFYXffvuNtLQ0LBYLbdu2pV27dv/Z2f7lKGkTwV5I3VvLfWgCn0PadyLT7gds+U6aIGgaGnPZE6BJKYmLi2Pv3r3s27cPh8NBixYt6NGjB2FhYWXuF2BUg4dIuCwdSK7MIZFzKChUpRZ+omAKB4PZQO/xkUz68H9e/aXGpzG0xoRSjcESaGb+iY/yNvSdPhDNA62f8tlWZ9Cx0aYqgOIo91RKCKEFPgFuA84Bu4QQa6SUhy9rulRK+XB573etYs3MRaPTgA/5np2WQ2hESJGF1BW3UmR5Rb8gC39vPlAm4e+UDs7lnOLYwv10v7srtw3qWWbHY0i1IJ/56DOd6azdvBqMHlNGZGTkf3627xPnwcLP5a6GwOeQWe9QUPjjeZ81HWnqXWbnpRCCGjVqUKNGDXr27MmOHTvYuXMnhw4donXr1vTs2ZOgoJLlfvIaelau1zGz8KOmbEgK8RjxDrd05DpY/+XPjHzxHoLDgzh3Io61n/1IfFQi7W69HkugGWumd7+F4XK6+XHeVoY+0x+AiPpVfUbAAdRppqaRLgkVERvXCTgppTwtpXQAS4B+FdBvpaJqnbC8fPn50eq0dOrdDp1ex72vDClz/wnRSWUq7uKQds5zBhdOqim1mTnyc94a8YEnX30ZGPBobwzmS/4Ct3SRKGLJ8EukSo0Qhg4dyvjx42nZsmWphb90p6CkP42S0AYloS1KxvNIxTtrZrH9OA8irSs9ZprSrpC1RTlBL/zcXCd8n1aS8VYMZcNsNhMZGcljjz1Gly5dOHjwIJ9++im7du0q/TPh2Z3rawKiEzqqiVrohN5jGpLJKDJfOKlRz5mDMezetI+JbZ9m9Sc/sGP1Lr6cshAQl2o8lwBHroNzxy8VlTf7m7lzfKRX5lW9QceDM8eW9hErJRWhAGoCMfnen7tw7HLuEULsF0KsEEKULFSgEqHRaJj85USMFmPeD81g0hMQ6s+oqYMAaBfZCoO5+N2pPieQRfzm9UYdQWEBXuX3HNJOHNFIJDWoh0X443K62bFmNxvnFGLmKIaWXZsxcca9GC1G3H4O4vXR6MNg6ifP8dBDD9GsWbMyzYCldCBTB4NtPUgryBzIXY1MGY6UJVNWipKFknQ3MmUYMvM1ZNp4ZPJdKK6Sp8EW/o/jW6ppwNLfMxZtIdE6wgJ4O9MvIqXLo5Qcu5CyZMrcz8+PXr16MWnSJGrWrMn69ev5+uuv8/ZMlJRxb43EP9gPg8mzE1er06LTF6xZYMNKKonEE5OnBJwOF+G1q/DO2I+xW+15Nn+71e5JA+ErSW0hUkmn19LisiigRz4ax4DHemO0GNHqtYTVDOW5hY/RpmfLUj1fZaXcPgAhxCDgDinl+AvvRwOd85t7hBBVgGwppV0I8QAwVEp5SyH9TQAmANSpU6d9dHS0r2bXLFEHoln5/jrOn0qgzS0t6TfpDoLCAnE6nAyr9YDPnCflxRJoZnn8HH5euI1PHvkqLzonW2aQQjwR1MUgCi7xG7Sqy+d73yvT/axWK6u/X81vP2+ndp1ajHvof+V2Vsrc9cjMFz2CvwBa0DVF+I0H052IQqSLYl0GmS8DbnJzFRKS3SQkucnMcuPvp6XLDR0QQdP5fWciaWlpBRLChYaG0r17dwD++usvpO0HqhjnERaqIcBfgxB60NQBjQFcx/Ctjc3gPxGN/4O+n8/xFzLtYeCiCU+LCJ6FMHYp+WckJfv27eOHH37A5XLRo0cPunTpUqBAfVGkJ2Ww5tMfObj9KHWa1aT/I70xWQxMuf0NYo+fx+1SyJLpJHEeExZq6uvRvHMTJs95kIc6TCl3nWIhBN+lzsM/yHs/gNvlxpZjwxJoqfTx/1c6F1AskH9GX4tLzl4ApJT5pxtzgHcK60xK+QXwBXicwBUwvv80iTHJbF28nd2b9nHmUAxSkXQd0ImpKyYXyF65Z9P+QjfKFJrvv4TYcx0se3c1W5fuIDQihKSYJNwuib8IwiID0PgQmoVlBS2OI0eOsG7dOmw2G8PGDqFr164lFkBFIV3HfQh/ADe4DiEzXwDbDxA8CyEE0nkQZ/bPJKfayEj6gyb1PI7pZWuyOHL80rPptIKq4Vq6dDiITB1G1InbiU9wotFH5CWJu5jPB2Dnzp2kpChIOQJcxzDo7LRu3YLeN64DxcGxkw4CAzRUCdFiMAhAB8IIfv9D+D1w6XmcR8AdD/oWIIzItAmelU3+Z06fCOFbEZrQEn1GQoi8zWMbNmzg559/5uDBg/Tr14+IiOJzRgWHB3Hvy95myM92v838l5eybvZPkA1ISJLnOe+KRrdHyzO3ve4zuKG0GMwGslKyfSoArU6Ln4/jKkVTESsAHXAciMQj+HcBI6SUh/K1iZBSxl34/wBgipTyhuL6vtajgDYv2sbM+2fjtHuSXl1Eo9MQViOUOYfez4vB/2nBr3z08JcFEmpdpG7zWuiNeuLPJJKd5ksIFo4QnlBTxa3gsDlxSgfx4ixhmgjMiu8flN6kZ8jT/Rj7qu96wr6wWq1s3LiRAwcOUL16dQYMGFBhIYoAMncVMvMVLyFZAGHmYOxzHD24ksTYHaSk2VEUiVYDzz0WilYr2H/YTla2QrVwLdXCdfj7iUJmlBaoshSNvknBcUhJVlYWycnJpKSkkJycTKhhHh1b7MXtlrz1YSrKBRN5aLCW6xpF0Lp9H6pXFQhjT6S+NaRNAPdpQAvSAfq2nj0FXO4wNSECnkH4jSrTZ3bkyBHWr1+P1WqlW7dudO/evdyzZ6fDyci6DxKTeJYkJY4a1MUozGg0AgkF/s5Li96kZ0XCV1gCKnaPw7XGFV0BSCldQoiHgR/xhIHOlVIeEkK8BuyWUq4BHhVC3I1n/ZoKjC3vfa92stKymTl+ts+avIpLITMliy0Lt9Fnwm0AtOreHJePcnsmPyOjXx5C98FdmPXQl2yYs7nI1A750WgEOoMORbkk/M9zBikVdOio2dgzK0yITkIIcNpdmPyMVK0TxuDJJc/Xfvz4cdasWYPVaqVnz54VNuu/iHSdRequAyx4nKiXPqfMLDeHjjlo29KIyWQjJ3Ud58/uILyKQtPGJqqGaakWpuViUFOr5oXb4AtihZS+KGgAk8fsr6kOfhMJCOhHYGDgpXQOia+C4lG2E0YHkZzqJiVV4Vyck11/nyMoYBHVAwzkpq0lLhHq1nKg0eT7rp17AF/fqQNk6Z3cF2nWrBn16tXjhx9+4JdffuH8+fMMHDiwXFlId/2wF5vVgb8Mwowf2gsJ5DQ6LZZAM06bk9zs0ju6DWYDPYbeRPThc8SdTqBhm3rUbVar0PbRR87x2/I/UBSFmwfeQINWpduvUllQN4L9P7Fl8XY+mPg5uVmF/xhuu7c7z3x9KXL286cXsG72pjxbqtFipFGbesz45VW0Oi1xpxO4v9VknxvBCkOr1+J2ui8JfxQiqEdQQDCPfDSOXmN6kHQuhY1fbSYxOonWPVrSfeiNJa48tW3bNrZs2UL16tXp378/1atXL/HYiu3fFeWxi7tjPNJVWECxYbVmcfi4gwNH7cTEupAShtwdQLPrApC6pgjXfor0ipcHYQa/SWj8L8W4K8l9L9j+vbHZFM8qzKhh3yE7qzZmYzELmjQy0Pw6A/Xr6NFqBb7LrZkRofMQhnblGrKUkt27d7Nx40ZCQkIYNmxYmdNKrJ29ic8nzy9gIsyQKdiwct/EsfQa3ZPHb36xxB+/wWwAKbn5nhuIOnCW86fiERqB26XQ/rZWvLTsSa8U0UvfWcWCV5fjdnq+e71Bx6Cn+hZa/e5aQ60HcBVQ3FLbYNIXKKIOMOGd0bTp0YK1F5RAz2E30Wtsj7xIjKp1w/ALspRKAUi3RAqFOBl9QfjXxShMaIQg9EKVqfBaVXzafovsV0rWrFnDP//8Q6tWrejbty96ffFKo+T9O5Gpoy6ETkqPQJG5pKUrfDw3DUWBsFAt3buYadnUSJVQLeBCuOP414Q/njGQ/QGKdYXnPoZOYBoM2dPwNYs3mS75V5o1NqDX+XPkhIPDxxz8c8COySh46L5gAvwvXzGZwNjNYx4qJ0IIOnbsSNWqVVm2bBlz5sxh9OjR1KpV+Ay7MJp3uc5nEJTdYMUVkkuLG5sQFBZIRlJmifrrdW93hj8/kE8fm8fZo+cKpH3Y89N+Fk9fxb1TLxU+ijudwIJXlhXIMWTPdbDivbX0GHJTiXMVVRZUBfD/RKc726D4MOlcxOV00+KmgvZlIQSd+7Snc5/2Pq/Zu+Ugudkl31gDnh29IPAnEAsBGIUZoRFYgsy0jSx7KN3mzZv5559/6NatGz179vRSeFIqIG0gylgm0b4NpBUpFU5GOUlKcXNjRzMhwTpu7+lHnZo6qoVrL+tbCzKxZP3rbwF9Y8hdCjK9lINzgXLG81/bxSi2y59Rd6ntBQwGQfMmRpo3MeJySU5HO4mNdxHgrwEkR084qFtLh9msA+OtEPQOOPegOA8BRoShFULfvJRjvUTdunWZMGEC8+fPZ9GiRYwbN67UO7Abtq5Hh9vbsPvHvXm71sPN1QmpFkSWLo2YmBgGT+7LN6+tKNFEZd0XP/Hzt7/htLu8TJuOXAcbvvi5gALYtvLPAmmtL+Jyutj+/U5VAVzGfy9JeiXBL8iPZ+Y/jMFsyIutzo+iKLx413TOHT9f4j6TYlJK72QT0PaW62lY/TqC/UMxmA3Ub1mHGVtfLbOd/q+//mL79u106NDBS/hLKVGyP0cmdkQmtkcmdUWxri71PaQ7gdTUXOYtyWTRd1ns3mvD5ZKAQqe2flSvqs93Xw0egVuKyCVdFTSBkxFVd4K2IrJKXv69uMgv/L1urxNc19BAz5s8mwNzrArfrc/ms/kZHDtp86SbSI5Epo6GrDchayoyZRBKynCkkl3mUQYFBTFq1CiEEHz77bdkZ5e+r5eWPsn46aOo16I2NRtHMOSZfizZNY+QkBBWr17NgMd702/S7RhMek8R+qKQnloAhfm17LmXlMg/Ww7w9ctLfbYVQqDTVZzf6VpB9QH8P5OWkM7mRduYM2Wh1x+uRqvhlhFdmTL/EQAcdieZKVkEhwei03sv3qIOnmViu6eLXFnkxy3dJGrP8cmamdx8x43EHI3FYDYQUb/s0TmHDx9m+fLlNGnShCFDhniljFCyP4XszykY0WJCBM8AY09AQQjPZjcldz1kzwT3edBGgP9kNOY+KM6z7N7al5+2xqLRwK3dLLRpabxgK/f0h749uA55Nl1Jm8dPUBqMd6AJmQWAVNKRaZPAuatMn0nJMOMd5VOQuAQXq37IJjHJzfXNjNzR04LFcvkcTgfmfmiCppVrNLGxsXz99deEhYUxduxYn9leS8upU6dYuHAhI0aMoFGjRuTm2Dh7JJbvPlzHloXbi7xWaITX5Eaj1dBzeFeeXfAIOZlWhtWcUOheA4PZwJf7Z1CjYcX5oP6rlMYHoK4A/p8JqRZMu8hWGC3eO3wVt8KRnSdQFIU5zy1kYJX7GNv4EQZVHcfKD9YVaCulZNuKP0os/AFSSACzm0at66PRaKjbvHa5hH90dDTfffcdtWrV4p577vES/lK6IWcO3oLOhsyYgkxojUxohZIyGCVrDmRMuSC43eA+BxnPouSuJf3s/fy4+Tw1I3RMHBNE+9amfMLf0x/6tmiq/YWosg6U0ppwjAjTHXnvhCYYEfotiMLLO5YPExjaUdQuYICIajomjAqi+41mDh2z8/mCDJxOHyuL3LVlSveQn5o1azJkyBASEhJYvnx5mVN/5Kdhw4Y8+uijNGrUCACzn4kmHRoSWj2k2GsNJj1GswH9heADo8VAUFgg46eNAGDH6l2FmhI1Wg33vz2yUgj/0qL6AP4DhNUMLXSjTM2G1fnmtRWs+mhjns3Unutg3otLCAwN4LZ7PTtQv/twPYunryrxPa0yiyzSaBregpo1y584KzExkcWLFxMcHMyIESN8O3xlDshC7L4yn6nBuc/zyn9aSs6ey6aumEawXzbjRwVQNexyG38+rJ+gaLQIQ0fPCqBUmJHG25D2HZDzFShZYGhdcIwVidCCiMArhbQPtFpBjxstNG1kIDbOhV7veX6HQ17YWAbgxBMKWz6TR+PGjenbty+rV69mzZo19O/fv9z7BC7WSF6/6Ef+WPo3WcnZHNt1stjr/IP8mPXnm2z8agtHd54kMyWL7PQcZk2aw/DnBpKbZcNdSDLEO/53C/0f7l2ucV+rqArgP0BglQBuHtiZ7d/vxJF7KXrBaDEwdEp/Xuo73cthZrfa+fLZb7nt3u4oisK3r68osqReftzSTRJxWAz+3P/EfeUef0ZGBt9++y16vZ5Ro0YVXoxE+HteMq1U/VutCut+zuHIcQcjBkoaNwyhWnhxf7oSsj9HmuPJvy+gZGRDymBw50to69pbyj5KgbSCfUWpLqleVUf1qp7P4GSUg1Ubc7gz0kKLJkbQt8eTpLf8tG3blszMTLZu3UpgYCCRkZHl7nP2S/OY+fb7BDpDCRHFh5tqdRr6P3onVSJC6XbPDaycuQ57rgPFrRB3Kp6/f97PQx/c551iFs8+mVtGdC33mK9VVBPQf4TJXz3EraO6YzDp0Rv1VKkRwrPfPErjdvULTbuQFp/Okre/JzfbVuzmGq1Og8nfiCXAjN2cjdBL+tzZm7sfur1c47bZbCxcuBC73c7IkSPzZni+EEIDAU+Cj9TBhXHitIPP5mdw/KSDyJstNKxnAEoaTmqD3DWUKuUkAK6Cwv9fpzhzTdE/08AADYEBGlaszWbZGgc2/XMVNzSgW7dutG/fnm3btrFrV/n8IFlp2ayd8RMmpx9pJOEobEWYD7dLYeGb3/Fk96nMfmoBudm2vBTQUoLd6mDhmysZ8FgfjBZjXjJEk5+Rzn3a0apb2SOjrnVUJ/B/DIfNgTUrl6CwQE/OGikZXnsiKed91+/VaDV8nzqPkXUfIjvddxoIvVFHixub8traKRzafoykcymENgigc4+O5R7v+vXr2bNnD6NHj6Z+/frFX8BF5+4scMeC0BWavuHEaQdLVmURVkXLwN7+nlm/qAGBkyHjKf7VeP7/FBqKXMVo6qJIMzv21uWXP/2oHtGAMWPGVIjj9iKKorBkyRJOnTrFI488UqSiL4pdP+7ljWHvk5meyTlOYsafaqJk+w2MFgOKW/FZ00JoBCuT5nJ6XzQ/fr0Vp91Fz+E3ccNd7ctcu+JqRd0I9h/F6XDy+/d/cWDbEarWDaPXmJ4Fir6DpzSiwXTJISyEYPhz/fn4kbk++1QUhWkjZ2H1Ef+v0Wm4dWQ3+ky4lWY3XIcQgna3Xl9hP4ikpCT27NlDhw4dSiz8AU8kjzsecmYVmbvH6ZTUqK5j1D0BGI0aQIsInIx07MEjFMvvmLw6KMaEZeiCLvg1ut0O1eodY+nSpRw7doxWrVpV2Ag0Gg133XUXs2bNYsuWLQwcOLBM/QSG+iPdCjqhw18GkUk6bulGWwKTld3qQG/0LbKkIpn7wmIe+/R+WvdoUaaxVUbUFcAVwpqVy+NdXyQuKhFbtg2DSY9Wp2X6ppdofsN1RV6bk2mlf8gY37nTBeiN+gI7H8ETNfHSssnccNelTWN2u51PP/2UyMjIChEOixcv5syZMzz66KP4+ZU8E6NUMpGJN1JYXL7TKfOcm1LKS45H3fWIKiuQSTdd2AF8tWGkJI7eUqNriiZsTd7b1NRUQkNLliG0tGzevJlt27YxceLEMqX1kFJyX9NHOX8qAZs7lziiqU5tTMK7GJIvajauTnxUks9Yf71Jz4KTHxNW49959qsFNQz0P8iy99YQeyIO2wVbveNCUqxpIz8sNmTPL9BSaIELjVbjJfwv0qBVnQLvDxw4QEZGRoUIh6ioKI4dO8bNN99cKuEPXMhs6Xv2npnl5pO56XkpmS9FnQjQtfCEhSpXa773f0H4A54keJe4+P3GxMRw5syZCr3TTTfdhNFoZNu2bWW6XgjBtB9epFbjCIL8g2gW2Aqz1s+rqldhxEclFboK0Bt0nPw7qkzjqqyoCuAK8cvi7T4FdVp8OvFnik9P8MbaZ6nXsjHPFbUAACAASURBVOA2dkuAmdBCZjsarbaAY1hKya5du4iIiCh32KeUkk2bNhEcHMwNNxSb1dvH9TZ8KQBFkXy3IYdcmyQs9PI/TS3YNyCT+wClq2b13yaA0jupL0Pf2OuQlJJ169axfPlCsrNLF3VVFCaTic6dO3P48GGSkpKKv8AHEfWr8dXhD/jw9zd5fc1zfJ86j4c//V+RNa8v4na5Cw2KUNwKYbUq9+y/tKgK4AqhM/ietShSoi/kXH6MZiNf7p/J3CMfMHHmWN7c8DyPf/EAqYU4h01+RmrlSyYXExNDQkICHTt2LHcs98GDB4mLiyMyMrKMRdsN+BJ623faiI7RcWdkKOFhl/frApn5f+ydd3gUVduH7zPbNz2BhAAhVOkdpEjvKAIqKKK+ICpiBbGDfnaxoihYQCyI2BBRKUoTkI70EnoLJSGkJ9t3zvfHhMCym5ACSMl9XXvBzk45k9055Sm/B20WXdywzssZB0R8DUopNGrMAWLcXWvo32EGjlMT+PWbhngznkGqhdRKKAatW7fGYDCUeBUA2kqgeqN4Gravy1fTviLXmpGnS3V+Asmd6Aw6Kl9XkRqNq5a4TdciZQPAJeKm4d38sn2FIqhStxLlKp0R3MpKzWb5zNV889KP/Pz+H5w4kOxzTFztStw26iaua16d94Z9ElD4StErPP3VIz5aPuvXr8dsNtOwYcNS3Yeqqixbtozo6GgaNCiZWJww1OTcUM7EY26WrXbQoHEnmnbdjSg3Dyx3c/X/RD1axrNadM0nX8IARRPXy0O69yDTHyQmKpnunczsO2hn7cpfkBmjkI6/UdPuRT3VHzVnElItfolRq9VKixYt2LZtG2lpgScgRUVRFCpWrMj7oz8q8gAAmt8rKNSKyWrCYNLTsH1dxv059povB1lcrvan67Kh78O9aNatESarCZPFiCXEQkRMOC/+OBrQOtaJj0/l9tgHeO328Ux/bSZTnvmW++qPYub4P/zOt/LXdQX7DlRJnetr+mxq06YNffr0KbUk865duzh16hSdOnUq8cMmdBXB3I2z8wESj3sJCzXR59bXtfBX5yqw/8yVN9sv5iOlVMpb2ZQwokm4IONB5KleSK82WZC2qZx2sLdsYuK6GkYWLcsg/eRSZMZIcK0Ez07ImYA82QbVsbjYl23bti06nY7Vq1f7fbZl2Q6e6vIyd8Y9yIv93mbf5sLt8tHBFUg9mY6Nog9GqlfluemPM3nLewx55Q7SjqfzULNn+OiRKaQnF1f649qlLAz0EqHT63h19rPs23SQhDV7iKoUyfW9m+aLus3+eD7zpy7xiW6QUuJ2evjqhR9o0K4uezfsJzfTRrPujXC7PHjdgTsNoVP4d8EWutx5JgOyYsWKVKyomYScdidfPD+DBV/9jdPhonHH+jz68TDiap/fN3DgwAHMZjN169Yt1v1LbzIy6w1wLtWkD8y9wTIY7D8Bdtq2bUOLLv+HyZiDmvkS2Gdx8ZymFxMrWmHcIiI9hZexLBA9mlksL/zXm4jMGI2I+g5cOzk9cAohuKmblf2HDFjMKlrFtLNxQcajyIjPEKaORb56cHAw1atX93Myr5y9jnF3T8iXgk49nsamxdt4b8lL1Lne31cB4MkARSg4pZ1gwgLucy5ej5eXb3uXSrViOb4vKT8Lfv4Xi1n123qm7vigrEZwESgbAC4xNZtWo2ZT/5j5Xz6Yg6sA55bb5eaJ9i+gM+jwuDxMf/0XWvZsXOA19AY9esMZ809iYiI2m43rrtNyAV665V22Ld+Z75TetHgbj7cZy5cJHxIRU3iCT2JiIpUrVy7W7F9KOzJ1QF7oplcLZ7X/BkgQJhx2PWZ2YvQMQ0o7WsdflOxYhcIklS89goI7fwOaRs85yKRiXkMPSniAMFgvuDejpg4Cr6+2TmiIjqYNC4uy8SKz3kKUL/oAABAbG8vevXtxu90YDAaklHwy8qv8zh9OZ+o6mfz0t4xf9upZ2yWqqqLT6YirXRGDMOIujlw34HV7ObLzqM82j9tLxslM5k5ZxO1P9SvW+a5FykxAF5mTR1KYN2URi7/7h9ysgmd62ekFzxqlKvG4vThtLrweFafNyb8LttCsW2B7vhDQsleT/Pfr1q1j7ty5CCE4vDOR7f8k+EQkSSlx2l388fnCQu/F6XRy8uTJ4leKss/TBNV8zBxuwINUc5j8bRJzFqbmaQQ5KFqGr8rl1flD4HYb0KSeL1TSmq6QHAgvuLcFvFauzcD6zW6czgJMat7ih0/GxsYipSQ5WTM9OXIdpJ4I7BPYu/EAoOXDvHffJ9xkHUxv45083nYsCWv2Eh9VnVAuTASP16My++M/secWLo+y+e/tPNziWW60DOaeGo/w19d/X5DrX0mUDQAXke9en8nQ2o8z8bGpvDPkY26JHMqkkVNxu/xngjWaFD2TFrQiGUazkT4jeqDoBIpOwWg2YrKaePGnJ7EEW8jNzGX+1MXMnfYXniwVKSWHdx5FZ/CfDbqdbvZu2F/oNY8dO4aUstgDgHTvAAIPfidPeUnPVImNvlIWo7q8V1F9KW40+esL5csozCymEnCVgZ4U+73MW6zjwOECBk2lXLFbcjoRLClJW8UYz5JrPpeIGM20M7bPmyyZ8Q9upwcpJQlr9jDhocl4UiBIF5K/f2mduSmJpxgYcx8rZ68L+Pn2FQm80GccezcewO10k3TwJB8/OpVZE+YE3P9qpWwAuEjsWreX79/6FbfTg9vlQVUlUpXM/vhPnun+ql/Ew9BXildzF7SZ+8hPHuCbvRN59KNhjPz0AX44+jnX927KzjV7GFzlISY8MoVlf6zk5zfm8kz3V6lUKzZwFqXJENA0dTaJiVpRlWKvAPTXoc2C/dm114UQULumfz2Eyw5RAYIfy+ssAyffXZYo4VSpeRtmk5u9BwOZWYwQ9FCxTxsWFobFYuHEiRMA6HQ6+j3Syy/azWQ1cefzt7J/yyH2bjgYUMtHlV5s3hy80ktYdCiDnusfsFJecXDaXIy7awJpSf55EFPHzPDLJ3DanEx7+ecCq49djZQNABeJBd8sLTBhZff6/WxY4Kt337hTA2pfX7NYOUEte2kFwStUjebmh3rSY0gntizdwb11Hmdk27HYsu3YnDlIKdF7DGxesp05ny+kTqtaGM56uDQ5CT03j+hR6PWOHj1K+fLlMZuLruYJICx9QFgI9HPbtc9NpVg9wUGX+0/RjAh/CyX44RI6bf9D1HSUjKFUj/ew76A7QPSYF3RVAh5aGEIIKlSokD8AANz7+p30GtYFo9mIJdiMOcjE4DG30GtYF47uOYGugGQvF06OcwgnNpy5TqyhliJnBxeGy+lmzI1vsmXpDp/th3YErhDnzqu6d61wuT91Vywuh7tAU7bb4Wbj4m1+21//4zlqNqlapPPrDDoq1Yr12fbPrLWMu2sCR/eceSBdeSYDY17I5bzJC3nxxyfoMaQTJosRoQgadqjHhJVvFFqZSUrJ0aNHiYsrfsKSUIIRUT+DsQ359XkNLcjINJB0UqVuLSNaSOjp2r3/ISJYa4u+aV6bjKCUh7BxCFNbbZ/8+7hS8II8Qa1qerJzVJJTzp3heiH7A6RzBWrGs6iZY5CuwKaTc4mNjeXkyZP5FcN0eh2PfnQfM09+wacb3+GXlC8ZPOY2hBBUrV8ZTwGzawPaquG0I7hao/iAmfM6vUKNptUwWY2a7PP5Sgqrkv2bDzG2zzi+e/1MzYWCqoMpeh0hkcHnu+2rhgvytAkhegET0IyjX0gp3zrncxMwDWiOlsd/h5Ty0IW49uVKx4Ft8m2d52IwGYiscCbaRkrJP7+s4beJf5K4+4Tf/oHQ6RRqNI732Tb1+e/8Vh3BhGHCkv+AIeDgtkRGfTqcUZ8O9xVbKwS73Y7dbic6OrpI7TsXoY9DRH6llYVEIISCIIGBd3xL1couCKoMuV/x3zl2dWDqigh+GHRVEYoVKV1aFTMR7vM3EiFPI12r81YCV465oHKsHkWB5BRvfjGZfLy7tbrH2AGBtM9FWu9ECX2u0HNGRETg8XjIzc0lNDQ0f7sl2EKlmr5mv/h6cTTuWI8tS3f4de4KOgQCDx5Co0J4795JActQql7J/k1nHNaKXiE0MhghBOnJmQW202lz8t2bs+h9f1ciK0Qw9NU7eGXAez4RSyariQGjbw5Yb/tqpdTTGKGVHpoE9AbqAXcKIc6twHAfkC6lrAl8ALxd2ute7rTo2YQ2fQML8ul0Cl3vap///tMnvubdeyexdflOv8pfgTCZjfR5sDuWYDNLZvzDl2NnsGj6co7v9w8pFEJgFKb8Dkyn12G0+MpNF4XTCWQeT/E7aOnei5r+GOrJDsi0e8ClJQ9FRNWlQcs3CYp5GWxfo3U+/4Vt3QxKOCL0BYShHkLRxNWEMCKUCP+/kS4uz69xZVEuSsfYUZHUrx3I3+LhTK1mqf3f9h3SU3hggN2uHWO1Fk3N8+VZT9Pv0V4ERwRhMBkIKx+K0WJE0Qv0Rh1BwUE0796IjJNZAVfQ55qvVI+KPcfBK7Ofpd2trXx+2+diMOjZtjwB0Mynz3z9KOUqRWomULOBXsO68L+XBhbpPq4WLsRQdz2wT0p5AEAI8QPQDzi7pFI/4OW8/88EJgohhLyctahLiRCCF34Yzdwui5j89DTcTjd6ox6TxcjYH57IN7ckH05hzuSFuAtQ9DwXU5CRB9/5H236tWRo7cfJSc/FnuPAEmzWMmjPeWqc0k4u2YRTDkUohESG+GUJFwW9Xo+iKDidxUvOku5dyLRBeXV5VVCTkOkPIUNfRzXeyJEjR4iwrCHsUmfwmweBEqRJMOgbI6wDEMqZGaz0HADPYdDXQOjPsY+7VoMngStp9q+hoCigKOdGJOkIHKUkwbkc9DUKPGNOTg4Wi6XImlBGs5Hh7/yP4e/8T7uClOxcvYc1C/5l6ZaFPPL0CMbf9kXRbicPj8vD6A7/hypV1ADSKGdjDTszUJmDzGSn52A0G/G4vfz55WLcThejPnvwmpGUuBADQCXgbI/KUaBVQftIKT1CiEwgCvALaBZCDAeGA1SpUnzH1OWEEII+D3bnpuHd2L/lEF6PSs2mVX00enas3IVer8Nd1JmvCpmp2Xwy8kvSTqTnawHZcxwIReRXETuNEwfppBBljiY4KJg3540pUUEYIQQmk6n4A0D2+Lxs1bMHJgdkv4krpCvTpk2je7tjtGlwKR2rCiJkhCZJcQ5S2pHpD4NrQ161MjfS1BERPh4htNmldK278hzBwNYEhaOp7endMQ2hHtKK3OuqgaExOH7Hb/UldHnO+4LJyckhOLjkNnMhBPXb1qZWi2p0SmxNVFSUNvsvBtozcP4wW6PZQLOuWu6M0+7k9UHjfUxAXo+XJTNWcEP/Vlzfu2mx2nClctkZu6SUk4HJoBWE+Y+bc0EQQlCzgDj/sPKhxZptOO0u/vj0L7JSc/yE4KQq/ZxiIm9DSFQQPxyYjMFY8tC6kgwAuDcTeC2fi9mYi6J4yU1bzKX9KapIx1Kw3gKqDZTI/O9AZr0Jrn8B55lmO5cjcyYiQjTdJqFEITHjL6tQEDouh9XCvgNZJGbVoU/5J3y2S+9xpCNA/LuUYC68ZnRpB4DTGI1GatSogS3HjlAE0nthHn1zkAmhKFiCzbw5b0x+ZNGWpTsDPneOXCcLpi29ZgaACxHKcAw4OzSkct62gPsIIfRoEoZXk6h7iWnSpQGWEHOxBgF7jhNFKWD/c54bJe8rTjmWyqSRX5W0mUAJBwBdwU5joQsjyJRErn81y4tP9rvI5JbIlI7IlE5I5z+aoqZ9Nv7JVg6w/XDmraUPiGI8OkoVsAxFqwj235GRE01EhH+kl9BVhLBxgBlEUN7Lioj4CKEEjgyT0on0HCE7O+2CDACnTp3i3Sc+YkDMfYXvmBf5ozPoMFmNheYKGC1Gbhl5I2/OfZ4ZRz71kYou1PocQG76auVCDADrgVpCiGpCWyMPAn4/Z5/fgSF5/x8ALLma7f/ncmzfCcbdPYHBVUbwWOvnfbITdTod7y15mUq1YrUEmvOMA4oiaN6tEe1ua+2j9wPaQ2EJ9o3RP70CkKgs/GYZ2/5JKPF9lGQAEEEP4Z8EZgbLrQhhIshqICfnv5gd56IpZrpAPYFMfxhpm02BTmh5ZpQSSiQiYgqIohRGt0Dwg4iQxxFhb4ASf/5DLgoGMp0dCizmrlj6IKJXIcLeQoS9jSi/CmHq5LeflBI15xPkyVbI1L7kJL2HVczJi+4qOd9/MpMpk77AaXOgegs254SXD+XDf17j803v8vnm9xj03C0o+oK6MUnnO26gQbu6PmZXgMad6gesK2AOMtH9f8XTRLqSKfUAIKX0AI8CfwEJwE9Syh1CiFeFEH3zdpsKRAkh9gGjgcJjy64iThxI5uEWz7L0x1WkHE1l17p9jLv7I7595Sc8bi2ipvJ1Ffky4UP6P9q7wFT60xhMBoa/ew+PfHgvFarHYAkxo9PrsISYiYkvz40PdPUZGMRZX7HL4WLR9GUlvpewsDBSU4u3cBOWmyBkVP6sEoxguRkROhaAoLCGZOdcDpo+Tsh+gcDJGwKMvm4tYWyJiF4DIS+BEoU2u9dBfritVdtmbAHuPciUG5BZL4F65KLeRUE4HILs1EWEFaKQKZRghLknwtwjPxLqXKTtB8j5HKQNhz0Hl9tNkO4fZM5HpWrf/G8W4XV7fX6vgchKzaFq/Tji68VRqWYs/R/rTXh5fwVRRadQ5/paVGsYeMA1W02MmTEKk0VbRSiKwGQ10X5Aa66/sVmp7uVK4oIYXqWU84B552z7v7P+7wCuqfiqrLRs0pMy+P6t2ThynT6zGqfNybRXfubn8X8w9NU7uHVkH4QQpBxLO280kJQSW7ad2OoxfLF9POvnb+ZIwlHi6lTi+t5NcdpdLJ+5hpREraM2YaEqtdEJ7asubHZ1PiIjI9m+fTu5ubnFqgOsBN2LtN4F3hOgRCGUMyaDdu17EWbUARPRZt9etM5UUlDR+IvH2QORyGuDAsKMCB3jt7cQCiLoLlRzH0jpBmSSb+s/7SR2/QOUvHLWhSI13UawxUHtKqUcgHI/53S4aMJe7fupUskLtmnI4JGI4pjGziI5JQkTlvOaQlWvyo7Ve7g+Lwte0Sm89dcL/PrRXJbMWInT5kRn0NFjSCceGj8Ep93J5iXb8XpUmnRpgDXkzGq0dZ/mTNs/kWU/rcaWZadFz8bUbln8CLkrmcvOCXyl47Q7ee++T1n56zr0xry6vAUYu+zZDr4c+wMhkSF0v6cjNRrFs3LW2gIlJECTu13y3T/UaKxFE7Xu05zWfZrnf24NsTBp/dvcGfcgXrcXRZyWTdaWt10Gty/gzOenXr16LFu2jISEBFq0CJzjUBBCGEEfr4WF2leBCAVzT6pVqwYMR7o7Ix2zQbUhzD00Z6x3d4nbWnpOf2kqSCcy93sIHRO4g0q/H63zv3ypFKtn5ANB6Cxr0NJySoh6ZgW4abuTcpE64irp80xkbkri58jIyCA0zopul7FIQrCTn/6Weq2v452hE1n/52YURRBWLpSXfnmKZt0aoigKQgg2LNzCKwPe5/RX5vV4eWrqw3S644b8c0VWiOCWxwOU1LxGuJLy2a8IPhwxmVWz1+F2urFnF9z5n8Zpc/Ld678A0GtYl0LsmRpSlbjdhZtMIqLDeOabRzGYDeh0CnaZSxKJ1Gpendota5CWlB4wy/J8REdHU65cOXbs2HH+nc9tt5SaxEDq7cjs95FZryNT2iNd68jKymL6D2s4kjoQJewlhKkNRZOEvlR4wf4NMuUG1NxpqN4spGsz0v4bqvNf8Gz9rxtYKAcOu/F6pabDo4Sc/4DCMGiFgFLTvCQe89CkQV6Soa4iWsJ/8Tl48CBNuzQkKqh8kQrDH919nP/r9zbr/9yMx+XB5XCTcjSVV257lyMJxxBCkJORy0u3vIs9244tS3s5bS7eG/YJyYdLVsz+aqRsALiA2LLtLPtpdUANk8JIPaGpFZqDTOeN0TeYDXQc2Pa85+wyqB3X92qC0CmoqOTKLDas3ET/iKHcXe1h7oh9gL++KZ7+uRCC+vXrc+jQIXJyilH1CsC5GBzz0EIn3YANpA2Z/ghms57k5GSWLdP8E9K5CryHinf+S4F6CrLHQcr1yLS7kZljIf0eLq/BytfZmZziYfrMLFastQMmhPXOUp1dhDwPmNm03YmiQKN6JsAMIWNLfM6mTZvywitjmbppAt3/15FKtWIpHxdV4P5ej5ftKxLyq4Cdxu30MOsDLZx1xa/rCLRY83pVlsz4701ylwtlA8AFJCc9B0UX2IZZmG3ztADcmjkbkOcpjO2yuxjV7gVutAxmwsNTcBQgHbFv00H+XbAVj8uDGSsCQY4nS1tBOD1knsrm40e+YO28jUW7uTzq16+v6bgnFC+aSNp/KSB5yoNBbqNdu3YcPHiQw4cPI3OncOnt/0XFi5Z0lBdBdBnE959BgOIbdrtouQ2TUXB9UzMYuyCMLUt3BWNTZMR3bN1dmZrVyxMS2QYRORXF3LVU542MjKRijQo8NfVhvt79EY9+XLiZKlAMoepV2bp8J4MqD2f8/Z8EfDY8bg+5Wf9F3PHlSdkAcAGJqhiJKYAWiVAEDdvXRWfw/3PrjXoeeOceADJPZfsldxWE2+lmzmcLeLrrKwFjmjct2Y43T7dHJ3SYsGAn12cfp83F9Ndm+h1bGOXLly+ZGajAMEGBVLNo1rg8QUFWli5dCt7ilkksQ0P6/J0PHnGz76Cbdq0sWCwKqEcLObbo7D9sIsfbi2Ydf0WJ/LZUg8rOnTuZNWuWX3hxix6NEQXluhSATq+QfPgUqcfTtQEiwCBhtpp8fGanObD1MC/d8g53xj3I6E4vsWmJv1rv1UjZAHAB0el1PPj+EJ+CGIpOwRxkJvNUFl63f+ceGhlMvdaasFijjvWKbUzYu2E/CWv3+p83Ktgn69eCFSd21HM64uLaQ0+bgQ4fPkx2dtF104WlX2BZAWmHzCfQZ95K23pfcWDPfPYf9ZdouPRcoVow8qT2j5QsXGYjLEShVbO83BDv4QtyiU2bNhEUFMR115VeEG/btm0cOnQIo9F34mQ0G4mrXanI51F0Cl6vWmgxF3OQiTZ9W1C/bW2f7Xs3HmBk27Gs/v1fTh1LY9vynbzY9y2W/byqeDdzBVI2AFxgevyvE6/+9hxNOjcgtno0XQa349MNbwdU6gRIP5mJy6n5DOLrVqbLne0wB51xpp0vLM7rUVn6w0q/7e1ubeXTh1kIxogZ71kmCyGgRqN4TiaeKjwz8hwaNtT0VP7+uxg+BHNvMLbLi48HLV5eQWukC7DTopGH6JB/mLsoUNGSS42FK3YQABwOiVeVdGlvRa/Pu49CRN2KypEjR9i1axdNmjTxS64qLmlpaezZs4e6desG/J23H9D6vOcQiiAkIoiOA9v4JUaeRmfQ0fnOdoz9/gmenz7S71pTnp2Ow+b01dCyufh01NeXwe/w4lI2AFwEmnVtyLuLX2Lavkk8+81jVKoZW2CxFWuoBb1Bhz3XgZSSGk3i8XpUFJ0WymYJMZ93KTzn84Uk7vZV3wgKtfLGnOfzHwozVipRDYM4a6YlBJv/3s69dUZyV/xDbFxUtGiWcuXKccMNN7Bx40b27NlTpGOEUBDhE7UM2qAREDQcLQr5jCPPYBD0721iYM9dl4EaowOU0neYlxq3W+JySSwWhfsHh+U5afMwdijVuW02GzNnziQ8PJwOHUp3LoBFixahKArt2rUL+PmN93VBbyw4Ul3RKURXKcfPJ6fy7LePYbIEjkKq0SieMd+NpHWf5gF/V3v+DSx5nZmaTU5GbsDPrhbKBoBLxF0v3IbJ6vsDNQeZaNS+LrdXuJ9bIobQP2IInz2pSUerXq2Iu8vuKkJyjJfZH8/Pf5+bZePFvm/xTLdX8bi1Gb8QmlKoV3pwSDsGk5b96HF7cdldpBxN5f/6v8PRPceLdD+dOnUiJiaG33//ndzcoj0kQgiEsSVKyGiEuRsIf39JbIye2OgMAJavtrMtoZjaQxcMAfLKejzSM7xMnZHJb39pEVoGwzm/m9yJSPfOAEeeHykls2fPJjc3l4EDB2IylU7X6MiRI+zcuZN27doREhI4NDW6SnmGvjYov3IdAII81VvtrSXYwsaFW9HpdAwe6/+MmSxGhr5eeORTRExgeQydXvGTVrnauLJ+4VcwvYZ1Ycgrt2MNtWCyGLXOv3MDNi7enu/8tWXZ8bp9bZgetxcE1GlVq0CLhNejciRBc/DtXL2bAeWHsWbOhvzO/2ySOcZJjuLxuP0czh6Xh9kT5/sdEwi9Xs+tt96K3W5nzpw5xV8q66sV4hgGr1ey/7CLWXNzWLrK9h8sxb0gi7a6uRw4cNjNlOmZZGapNG1QUOfsQeZ8BoBU05DONUhP0TKDV69ezZ49e+jZsycVK5beR1O+fHk6dOhAmzZtCt3vjqf7MWHVG9z2RB/6P9ab+9+6C71Bh5Ra1M+h7Ud45bb3WDl7HQOfvJkH3r6LiJgwEFCxZgXGfD+Klj2bFHqNwWNu9R84rEb6DO9+1VcHE5ezjatFixby33///a+bcUHxuD1kpGQRGhXC0FqPkXK0aNo617WoQVztiiyZsSJgZ2iyGvnx+BTuqfYw2ekFz8htModkXSLRukoEuUP9Pm/Zqwlvzit6TPfKlStZuHAht956K40aNSrycQBqzhTImciZSlQKZ+u6ezySOQtz2bLDSYM6Rvr1Cj5jz77mMYHQIVU3azZ4Wbgsk/JROu7oF0xkBBSoj6/UAHMHsM3QVmDSDcamiPBJPhIdZ5OYmMhXX31FnTp1GDhw4AU3z0kpObT9CPYcBzWbVcdYiB7W/Q2f4PAO/2im2OoxTNs30eecRW2nlJKf3vud7/Ii4rweLz2GduaRCfdeUMBGEQAAIABJREFUkQOAEGKDlLJIqfpX3t1d4egNespVjATg1PG0Ih+359/97N14oMCZsNPm4pORX+F2FZ4lbCGIIH0w6Z4UrDLE5yExWYw06dygyG0CaNOmDbt372bevHnEx8cTFuYvzFUQSvADSH0VZM7nWpKVsTU4FgNadJFeL+jXK4ioCB1LVtjIzs1myO0hl4F/4L/ECBGfI7zJANi8LVmx4zvqNHbRv089jEHXQ+boArKTdVomsO0HtHoHeeY11wZk5vOIiI/9jjht9w8LC6Nv376l/tu73W5mzpxJ+/btqVy5Mkf3nuCFPuNIPZ6mZQFLGD1lBB1vD5zseHR3YBPliQPJqKqan0hZnHYKIbjj6X7c8viNnDqaSkRMGJbgwgvhXC2UmYD+QyrWqFCs/QPJ157NxkVbC3UYCyGo3iie8T+Oo0rjijjNZ1YKOoOOoPAgbnygW7HapCgK/fv3R1VVfvvtt2KbaoS5J0q5WSjRy1HC34GQkcCZGaAQgvatLQy8OZgm9U2l6IDyhOSvaASEfYRiuoEcb3ew3EJwSBzDhz/IHXe9iDl8AIqhCiLqW9CfW5YbEKY8LZ9zE6Fc4FyCVH2zu0/b/XNychg4cCBmc9Hs4Qe2Hmbc3R8xotnTTHhoMicOJud/tmbNGnbv3o3H48Hr9fJM11c4vi8JR65Tk2zItvPuvZM4tCMx4LkLCqYIKxdSokp3Z2M0GahYo8I10/lD2QDwnzL8nXt8cgYA9EZdkfRQAmEwGVALqKSkN+oYv/wVJm95ny59OzFgRD9q9KpIpToVKFcpkhvv78qnG94mOLzoKp+niYyMpGfPnhw4cIClS5eWyl4vrPdAyFNAKNrP0wwYqFfbRJM82/bO3U7WbnTgLXbVqMvX3Fk0zKjpI1i3qCOffDyWFStWABAR4Vu4XggLImoWhDwPSgxgBmMrROQM/Dv/0yggz0wIpJQsXryYPXv20KNHjyLb/Tct2cbjbcfy9w8r2L/5EPOnLuHBJk9zaEci6enprFixgtq1a1O1alW2/7OLnEx//47b5WHO5wvISs3m5JEUn8/vevE2zAGCKQaPva1I7SvDlzIfwH/MmjkbmDpmBif2JxFbPYb/vXoHHw7/jKzUYmrtALVb1mTA6D68M3QibucZU5AlxMzbC16kdsuabFiwhVW//4vX4OG4PEDLG1pw++23l3ppL6Xkt99+Y/PmzbRr146uXbuW6pxSqpp0hAgCNU3Tm3f+jfSe4IfZOezZ76J8lI6ena3UqOofTXQ1su+gi4XLbJw85aVKZQv9Bv1CuQrnlt8uHDXjKXDMwc9HoMQgyi9HCIGqqsyZM4eNGzfSvHlz+vTpU+Tv8s64Bzl1zNe0KQQ06daAqv3Kk52dzfDhw4mIiGDZz6sZf/+n2LL9B6Ww8qHkZtoQikCv11an0VXKMWD0zaQkpjDtlZ9x2d0YTHrufP4W7nimP26nm+mvzWT+1CW4HG5a92nGA+/ck29yvVYo8wFcQZwr5yyl5Kux35doAHA5XLTs1YSImHBSj6fj9XgRikD1qhzfn8x3b8xiy9IdOHIc6Aw6skQaJ4+mEB8fT+vW50+6KQwhBP369UOv17NixQrcbje9evUq8SAghAIizympi0KEvQK8gpo6mEH9N7J7n4MFS3OZPjOb6vEGOt9goXLFktc7/s8QFSBiIqQP1Yq0F8DfK20sX20nMlzH7X1DqFPLhDD/CBRvABAhTyCdy/J0mdxoqywjIuw1hBC43W5++eUXdu3aRYcOHejcuXORv8Pd/+7z6/xB0+1Z8c9Kgm9ox913351fltLr8Wpy6QHIPJWVv2Bz48ae4+DU0VTe2XKIQc/255eUL8nNsBEUZs2v8/ti37fZviIhX4xx6Y+r2LxkO1/umkBQaOACN9c6ZQPAZca2fxJI3HVuSeUiIOC65tX59aN5ZJzMzE+Jl6rEaXPxwXAt/M9p00TWvG4vVhnKtnl7mVdvHnFxcVSqVPTU+4BNEIKbbroJo9HIqlWrcLlc3HzzzaW2zfpcI3w8pA2mznXp1KxmZc2GbNZtcuB0ab1FZpYXh1MSU/48P20RXGiHe0kQkVDuV4TQI+UZBVkpJcdOeNi8w0nbFhYiI3TEVzbQo5OgZRNzXiSUBHfxy3sKXSUoNw9p+xqc60BfFRE0DGGoi8Ph4Pvvv+fIkSP07t2bVq2KPrioqsq0V34u8PNKYVUYMmQI8fFaha637pnA4u9W+LdPEZqvqwDDhCPXyfTXZ6KqknKVIukwoDVBYUHs23yQHat2+yjxql6V3Cw7C6cto/+jvYt8L9cSZQPAZcbyn9eU6Diz1cQdz/bn//q9E1CO2uPy+MX9CyGoZIonKymHVatWMXBg6Yu2CSHo3r07BoOBZcuW4Xa7ueWWW0otG5B/fl0FKLcIXKsxeJNo1yuWti2H5CcGrd3oYPW/DmJj9DRtaKJBbaMmhOaD6UwEzCVFgKEJiDAwdUBYbs0vvSgtA8g6+TNbd2ayZYeTU2leDHpB9SoGIiN0VI83UD3ecM65Ajh6i9IKXXlEyNNwVv5VdnY206dP59SpU9x22200aFD0aLCje0/wXI/XAoY022QORky07dsyv/Pft/lgwM4fzh/oAOBxeZn+2kyMZgOfjv6acfNf4NjeEwHln502J7vW7QXKBoBAlA0AlxmhUYFjsQujXpvreHjCMCIrhBeoOVSQyqgidYRlx5Dw8xF+TZpHjyGdOHU0lSnPfcf2FQmERYUw8Km+3DS8e5FNAUIIOnfujNFoZOHChXg8HgYMGIBef2F+bkIoSGNbQEUROlCsnHZutrveQmiIwqbtTuYtymXB3zYa1jPSt2c4WnSRCvra4Nl+QdpSPCQo5VAiJvl94jY/w8TpG3HnbiCuko6be8ZQv240JnN58GzBX3ZahwgacUFalZqayrfffovNZuOuu+6ievXqRT5WSsmYG9/g5BF/PanThYiCRAj3vDQgf/vi70qvx696VRy52iD+8q3v8uKPTwT8fRrNBuLrVi719a5WygaAy4zbRvfh29d+LlLAik6v8OJPT3JD/+vxuD1Me+knFEWgFkOi3p7jYN1vm/C4vKyeu45JL0/G4grBaXMgJeRm2PjsyWmcOHiSB966u1j3csMNN2AwGJg3bx7Tp09n4MCBxaolHAgpvcicSWD7BmQ2Ulddyx9wLQe8WK0KrZtbaNXMTNJJlU3bvQhjawi9HYGLdVuCKW/+lJhwT4CVwcVH6qqRlpZGUlISBw4cICsri8GDB2MyWeg34HUqVapEZOQZp6Wa0oWANQeECfSlr1+7a9cuZs+ejU6nY+jQocXO8t278QAZyZl+nb9LOkgmEbPBzP+G3kW5imcKvBjNF9Zpb8uyoUpJhWrRJO465pMBrzfq6XWfVqvA7XIz481ZzJuyCJfdzfU3NeOBt+6iXKWCi89c7ZRFAV2GzPtiER8+OPm84ZTlKkcx/cAk1v+5mbeHfIwz13neRLCzEcK3sEaaPEkGKZSjIqHCN97aaDbw04kpBIUVvwPfunUrv//+O1arlQEDBlClSpVin+M0atYbYPsRrbLYaUyghGk2fWkDzCD0ED4JYWyWX6owPT2djz76CNW+BDw7CQuBmGg91zc1UaOqEa9X4vWC0VhUx7Vv5vLZSCnJtUlOpXmJr6xHCMHy1U5W7rgTt0eLpzcYDNStW5d+/foVaCJTkxoQuDiOgojZqtVaLgEul4slS5awZs0aKlasyMCBA/Ods0Xl8M5Evv6/H1n9x78+EiYe6eYYB9EZdLw4biyDnrjFxw908kgKd1V9uETtLgiT1ciLP45m/pdLWDtnQ56wYjWe/OIhqjfSTE9j+4xjy9/b82tuKzqFsHIhfLVrQol+15crxYkCKhsALlNST6Tz+yd/kZWajZSSBd8sxX2Wbb9CtWgmrX+L3AwbDzQane/cLSqKTnO2nf31SylJ4gh2cokihjBxZmZkCTHz7uKXqd2iZAqZJ06c4KeffiI9PZ0mTZrQrVs3goOLZ+6Sag7yZBsggP3ecAPCejPStQl0VRHWWxCKf/hfbm4uxxM3cGLPMJJP5pKc4qVDGwsN6pg4etzN1BlZhATriIxQKBepEBKk0KieiYhwHSmnPOzca0QqlYFcpFIbXCto1hDCQhWOJ3lYs8FLalZV0k7txpEn8z1qeDhhoSZ2nnieIyeiqFChAhUqVKB8+fIYDIVHLqmn+oEnkLNXr8k3mDsX728oJdu3b2fhwoVkZWXRqlUrunfvXmzz3OIZ//DB8M9wOdx+dvskmYjb4OCZl55i2NjAq8ZhdUeSWEBWb0kJCrPyU9IXgGYiOjtf4OD2IzzW6vn8zv80JquJYW/cya0jb7qgbfkvuWRhoEKISOBHoCpwCLhdSpkeYD8vcLrEzhEpZd/SXPdaICo2gntfG5T/vs+D3Vnw9d/Yc510uK01LXo2QQjBz+/9EbDQzGn0Rj2qR0U9p9SkwWTE4/T4FIcXQhAj4zjJMU6RhEd6iCQaIQT2bAfpyRklvp/Y2Fgeeughli9fzurVq0lISKBz5860bNmy6A5iNVmb2Qdy4HoPak5Vy62FniIoKIhadTpQs8YsZOYrmi9AmMHYieBIJ106HyI1I5TU5NUk7LFjs0viKhmICNdxMlVh6cZOmiM6D+kNoeZ1qYSJ3ZxM03M4pRblYrvTsIaBqJCtRIWlY41uC6GDaFDBRIOmxfmrgQh5Fpk+At8VD4AHmTESwsdryqpF4Pjx48yfP5/ExERiY2NLvBpz2Jx8+ODnfpOO0/o7lazxlK8ayeAntKACj9vDyl/Xsf6vzURVjKDXsC68NOtpHr3+uXw7/oVASsmWv7fTspf/H/nAlsMBEyydNicJa/bAVTQAFIfS+gCeAxZLKd8SQjyX9/7ZAPvZpZSFS/KVUSg1m1Sj5ofV/LannUjH4/Y3+wghiIwN59aRN7Hq9/Xs23Qw/4E1WU0069YQ1atqNYHPmsApQiFGViaVJHLJIpxy6PIKjX/x7HRa3+RfTq+oGI1GunXrRtOmTZk/fz5//vknGzdupHfv3lSr5n9vfiixBSiICjDUKVZbhKERotwvSKlqOQdAZAR0rJrnZ0i7E9y78HrtaNYLC/UatuWldu8icz4G+2yEkGDujQh5DaGE0ywGmnU5+yqDi9WmgO00tYWIycj0+9Di9s/Ggcx++7wDQE5ODosXL2bz5s1YrVb69etH48aNSxyem7Bmj4+qhpSSdFJwYqdWRD2GvTGYHkM6YrKYcNqdPNnpJY4kHMOe40Bv1PHL+Dm8+NNovtj+Ae8MncjWZQVLVAsh0Jv0PqvfgvB6Vb8Z/mliq0cHrCNsMBmIq1O68OcrmVKZgIQQu4FOUsoTQohYYKmUsnaA/XKklMUOb7mWTUBF5e8fVjL+gU/9ZlJGs4Ep28ZTsUYFXHn1gxdOW4aiU+h9X1d639eFQzsTGdHk6YDnlVKioqITuvz/m4xGfk6eWiK5iEDn37NnD3/++Sfp6enUr1+fHj16nFdMTs0eD7nf4CtpYEZEfY8w1C91u860z4nMnQ6O2YAeLAO1V9og8OzmjF3eALqKiHJzS2yPP39bJDLZ77HKQ0GpsCvgJx6Ph7Vr17Js2TK8Xi+tW7emQ4cOpdLydzndPN52DPs3HQJAlSopHCeHTEII57rYeoyZPpKmXbSqcbMmzOXLMTP8OubgiCB+TvoCj9vLwOj7AhZw1xl0tO3Xkm53d2DJjBWcPJJCTnpugaYjRacw69SXAe35UkpGNHuaIzuP+jiJLSEWvto1gajY4vk/LmcumQ9ACJEhpQzP+78A0k+/P2c/D7AZrfzTW1LK2UU5f9kAcH48bg8jb3iBwzsS8x8yc5CJ7v/ryOOTHij02J/e+40pz0w/7zVS5HEc2KlsrMbcjBkFVl4qCR6Ph5UrV+br2rRv3562bdsWaJOWUmpJTLlfgJoB+jqI0DEIY8lXJkVFOlcjMx7KczSfjRUR9gbCcvHMCOrJG0ANUL9ZiUWJXubbTinZvXs3CxYsIC0tjdq1a9OjRw+iokof7TKqw4vsWKENOB7pJolEXDiIJJowohBCYLIY6XVfV4a/czejO73E7nX7/M5jDbHwzqL/o3bLmiz9cSXvDfsEl9PXnxAdV4605HQUoWAKMjJi/FC8bi+fjPoqoOmo1U3NeP2P5wtse1ZqNuMf+Iy1czcgJVRtEMdTUx+mZtMirD6vIC6oD0AIsQgIJFvpIxovpZRCiIJGk3gp5TEhRHVgiRBim5QyYB02IcRwYDhQqmiRawW9Qc/4Za8wd/Iilny/ArPVxM0jetBhYOGFNoAia6MFEYpNl4OutouMrAxiLDGla/RZ6PV6OnbsSOPGjVmwYAFLlixh06ZNtG/fnoYNG/o5SYUQiKB7IejeC9aGIuNJ0PTz/bAh3dsv6gBA0GOQPQ7flY8Fgh/Pf+d2u9m+fTtr164lKSmJ8uXLc88991CjxoUpbZl6Ij2/85dSksxR3DiJIY4gcSarzGl38dvE+fz11ZICq22pqorRrH23ne64gVrNq/PX10tJT8qgeqN4tv2zk5W/rUf1qIAXl9PN+/d9ynPfPobq9fd5GcwG7j9PmHJoVAgvz3oal8OFx+3FGnLtqH4WxCUxAZ1zzNfAHCnlzPOdv2wFcHHZvX4fI9u94FeF7Fz0Rh0V60dTo38FhF4waNCgotnsS8CBAwdYsGABSUlJWK1WmjdvTsuWLQkN9S9ec6mRjkXIzKd9VDM1rIjQ5xHWOy7etaVE2mZAzkcgM0GEQ/AolKBBZGVlsX79ejZs2IDNZiMmJoZWrVrRuHHjC5aBDbBg2lLeHTop39nrlHZAYBIFy0QbTNoc82xxQiGgQrUYvtn7ccDkrZyMXAZE35cvZ3I2RquRhz+8l08e/xJFp6CqEqRk6GuDGPhkWWwJXFoxuN+BIcBbef/+FqAxEYBNSukUQpQDbgDeKeV1yziLtKR0/vrqb47tS6Jh+7p0uqNtkcw0tVvWpHn3RmxctBWPq+BBoFn3xrzxx/NkZmYyffp0fvnlF0aNGnXBMnvPpnr16jz44IMcPnyYtWvXsmLFClauXEmtWrVo1KgRtWvXvijXLRKmjiBCQTo4k5wltMpa5osbRaKtfO5CWgcDTjweHXv27GHr1u/Zu3cvUkrq1KlDq1atiI+PvyhFc9JPpZMij6OgEEUFTOL8M2i304PhnApfEm1SMSD6PqrUrcTQ1wbRuOMZ/016coZf1NppXDYX3702k6k7P2Tjom14XB5a39yc6Lhy+fsc3plI6okMajapSmhU4HrDZWiUdgUQBfwEVAEOo4WBpgkhWgAjpJT3CyHaAp+jZcwowIdSyqlFOX/ZCuD87Fq3l2e6vYrX48XlcGMOMhNZIYyJ694iJMLf7+71eln6/Up+/Xg+bpebzoNuwGA28PvEPzlx4KRf8pnOoOPuFwdw9wtaKr/dbic5OZmqVauiqiopKSnExFw4k9C5ZGRksH79erZu3Up2djZms5l69erRuHFjqlSpcsmrg0lvEjLzWXCtByQYGiHC3kLoL74dWUrJkSNH2LJlCzt37sThcBASEkKjRo1o2bIl4eGBzS2lRVVVJr/1JR++PBG3200YkUQSU/S/fZ52XUGYLEZe/vUZWvRoDGiO5pssBUdQmaxGHv7gXr/iRRkpmYy9aRyHdyaiN+hxOdwMfLovQ1+545qqIleWCHaNIKXk3jojObb3hM92g1HPzQ/35KHxQ322q6rKc71eZ/Pi7T4dfXh0KN/sm8iLN7/FrrV7/cTkTFYjr/72HM26NvTZvmHDBubMmUPz5s3p0qULVuvFk9xVVZWDBw+ydetWEhIScLlchIeH07BhQ+rXr09MTDE6pAuAlHaQKkK5uBmkTqeTxMREDh48yI4dO8jIyMBoNFK3bl0aN25M1apVSxTOmZ6cwfypizm0PZE6rWrRc2gnn+gZt8vNom+X88c3f3IoYy97E/Zj9FgoRwWM4sIFAZzGGmIhokIYNZtW566xt/LaHeNJ3FVwoljPezvz1FTfbOInO7/EjlW7fUya5iATT3/1CB0GFMEndpVQNgBcI5w6nsb/aj4aMEbaaDbw1JeP0GFA63y99A0LtzDmxjcDOtFa3diM25/py5jebwaMpY6ICeOHY5N9OhuHw8HSpUtZt24dJpOJrl270qxZswI7pBMHk9ny9w5CIoNp2btpocW/C8PlcrFr1y62bt3K/v37kVJiNpupXLkyVapUoUqVKlSqVOm8WbaXIzabjcOHD+e/kpKSkFKiKArVqlWjcePG1KlTB6Ox5CGnB7Ye5okOL+JxeXA53JisJqwhZiatf5vylaPweryM7vh/HNh6mOycbJI4QiTRWCm8HrNQBHqDzsfeX1yEIjCajYz6fDjvD/vEJ2TzNEazgXteup1Bz/bP33bqeBpDaj4aUAm3XpvrmLDyjRK36UqjrCDMNYLBqC9QPtflcDP+gU+Z/+Vixs0fi06nY+28DQE7f4C18zby78LNBWYVO3KdHN6RSLWG8fnbzGYzvXr1olmzZsybN485c+Zw6NAhBgwY4HOslJIXbx7H2vmbNEFMnYI5yMT7f79SohA8o9FIo0aNaNSoEdnZ2Rw4cIAjR46QmJjIkiVLAK1WcWxsbP6AEBcXV2zpiUtBVlaWT4efkqKFeur1eipXrkyHDh2Ij4+ncuXKper0z+b9+z/FlnUmmshpc+J2upn89DSemfYon7wxmZUb/yHCGYNBGKksa5x3dWUOMtFjaCfCyoUy/dWZJS4LqtWvcPLHJ38xcd1bjGr3gl/Ip96op9cwXwmMnPTcvImO/wCQeSq7RG25FigbAK5gwsqFUuf6muxcvSdgx+7IdbJp8TZ6m+6kav04Kl1XeBH6wiQlVFXFUICKY3R0NEOGDGHHjh35nazT6cTtdhMcHMyHIyazdt6mM+fyqtiy7DzX83V+SppSqoIxISEhNG7cmMaNNfux3W4nMTExf0BYv349q1evBrTaxVWqVCEyMpLQ0FCf14XqXM9FSklOTg6ZmZlkZGT4/JuSkkJ6uqacYjKZqFKlCo0bNyY+Pp7Y2NiL4ux22p3s23TQb7vX42XxH0sJmiSY8+tfuBxuVFQUoRTa+VdrWIXoKuVo0bMJM974hdwANX7PRtGJAutWn82eDQeo0bgq3+z9mHeHTmLz35p8d5W6lXn660cIL++bMBhXuyI6g3/Ek96o96m4V4YvZSagK5yUo6k80eFF0pIyzpsuryhCC5srAVXqVmLqjg8BrbPYuGgr2Wk5NGhf1ycCY9+mg2xctJW9J3bjDrbTrXtXXuvyUYEPffm4cgwec0ux6g0UB4/Hw4kTJ/IHhKNHj5KT418JzGw2+w0KoaGhWK1WLQQz7wX4vD/7paqqX2efmZmJx+Pxu1Z4eHj+gBQfH09MTMwFrZx2Lqt+W8/M8X+QmZJF4u5jPrIIHunmJMeRVjePvvsAaRttrJi2vsAaEqfRGXSMmz+WJp0bcE/1R/IKuBe8f81m1WjTtwX2bAdzPluA16sW+JuNrBDOj8en5L+359jxuL0BAxtOs+ynVbx776T8hDKD2UBoZDCfbnyXiOjCM8yvJspMQNcQ5StH8c3ej5nx5q/8MG5WQBvoaUra+euNemo0qcq+zQfRG/Q83fUVXA4XUpW4XR46DmxDvTbXseLXtexYtQfV40U1eDjpPcGhnYc54t1HpIzGQrBfJ5+SeIrPnpzGkYRjPPzhhU/u0uv1xMXFERcXl7/N7XaTnZ1NVlZWwFdSUlLAQaKoBAcHExYWRoUKFahduzbh4eGEh4cTFhZGeHh4qaQYSsL0137mx3d+yzelCCGQUsWLF73QI1DAoHLLwFsYMWIEibuPs+b7TXg9hSvMGk0GUo+ns2/TwTzV2oL3NQebGfHeEK5rWYNPR32N6lXxuDyEx4SRm5Hr4zcwWU0MePJmn+MtwecPOe14e1tia8TwywdzOXkkhebdG9H3kV6ERpaFghZE2QrgKsHldDOo4gNkp5+bpHRhEIrAaDJgMBvICXANnV7nl7gjpYRwL0ezDuFSnYQTRZQIbIYymA3MOPyp39L+v8Lr9ZKdnY3dbtdi8At4AT7vrVbrZeV8zk7PYVCl4fkTA6/0kkMmWaQDkhrWeggB9dvW5rXfn8sv1rLk+394995P8BRSX8JoNvD55vdIT87khZvH+fgVzsZkNdGgXR3GzR/L873fYNvynT4TFZ1el+f8NeBxeej7SC8eePvui7oiupopWwFcgxhNBsb9+QJjbnwTj8uDLTvww1hSpCpx2l0Fqi0GytoUQmBVQ7il560s+2sFelXrXJzSQQanCCUCM1aE0AaXg9uO5IuI/dfodLr8mXtxUVWVX8bPYeb4P8hOz+G65jV46IOh1G5Z+gpexWXfpoMYTAZy7DlkkkoOmZqwHxZCicRld/Hiz0/S4bbWpCWls/znxThsTlrd2JQXfhzNm4M/wGX3X1XqjXra3dqaytdVJLpKuYB2fyEE5eOiGPRsf3rf35Vje0+w/Z8Ev1WqEIJew7pw84gexFQtT1DoxQsnLsOXsgHgKqJ2y5r8eHwyW5ftZO7khayZuxHXWR220WzA4/YGdBgLRRSpIHexETBgdF9iqkTz11d/4/F4cUsndnLIIRMjZkJlBDqnjugq5c5/viuAyU9NY87kRTjzFC53rNrNU51f5uO146haP+48RwfmxIFkbNl2qtaPyw/rPR9ut5vgSCv2HAcuHOSQSRBhhBHhk8X7xqAPeM9qxJnrRGfQoXol01/9md73dyW2egzH9ib5rAR0eh0PvH03/R7tBWglHp+c8hDv3jsJj9uD16NiDjIRX68y45e9mr+qOLb3BHqj3m8S4XF7OLbneH7lrjIuHWUDwFWG3qCnWbdGNO3akJ/e+42f3vmdrNRs4upU4qEPhpKWlM779338XM2WAAAgAElEQVR6prMX0HNoZ/7+YaXPYHEhadShHs27NWbE+KEkrN7NC33fwmoLyTdFpOuSsVbSEVv94mUUXypyM3P547MFfrNcl8PFjDd+YcyMUcU6X/LhFF6+9V0Sdx1D0SvoDXqe+vJh2vZtGXB/KSXHjx9n+/btbN68mbioeKQqCSIUC8HohP/goXpV7NlawRk1zxbv9Xj588sljJkxilWz17H0p1V4vSq1mlbDaDHy71+biYqNoP2A1iiKQsfb21KtUTzzpiwiLSmD1jc1o/2A1hiMZ8xh8fXjcDv9VxMGk546rWoV6+9SxoWhzAdwDXBavEtVVe6rN4rj+5N8onIMJgMSiacUCTwF0e2ejjz7zaM+29b/tZkPhn9GRkoWqJJ63WsxcEwfWrW5Hikls2bNIjo6mlq1al3yDN/Ssm/zQZ7s9FJAe3jl2hX5KmFCkc+lqipDaz9O8qEUn1WbyWpk0vq3ia9b2Wf/uXPnkpCQQE5ODoqiULduXU5uzOT39xYWmP9RGEJAr2FdGD3lIaSUvHnXBNb88W++M9kcZKJuq1qYg82cPHKKJp3rM/CpfoVq6796+/usm7sxfxUghMAaamHqzg+vKk3+/5IyH0AZPpzuQLctTyD1eLpfSKbqVRHKxelkV/y6ltFTHvSZCbbs2YTvDn1KenIGlmCzT4SHzWbj1KlTbNu2jT/n/0Xm/7d33+FRVekDx7/v1CSTSiChd1BQQaQjiIWu0kEFURQFCyvYRRCxYl/bKiDrKro2dFUERFB+CoJKUaQ3gQAJBEISSEgy9fz+mGFMyCQz6UDO53l4mHLn3nNmJvede8p7Uk5QN7EeI8YOpUWrM/9XYkLDmgFnwooIjVuXrPln6+odZKYeL3Tytuc4mDXlPwye0of09HT69+8PeGdmN27cmJYtW9K8eXMiIiJYlLEMk8VUqqs7pfAnZdu+Zje/LFjnb9YC3zyT5Zv995O2HmDROz8QlxBNWnIG9ZrX5rbnRtP4woas/OJX3C4PY6aPoOH59Vg4aym52XYuvuIC7njlZn3yryI6AFQjh/cVTvYG3st9o6liRlwojyIj9XiBuQLgW7KyduE/epvNxoQJE1j++Upm3DSTXDnJSffPfPf6Ch7/zxTa9m7Fli1baNGiBbVr1+bI/jR2rt9DQsOatGzftMqvFqJrRNFrzGUs/2hlgTVzLeFmRk0tfr3i02WkHi/wedmVtx0/hyz2frMN04UOatepjcvlwmQyMWzYsEL76DG8C2/f916p6/Pboj9Yu+QPdv2+N2DzTX4uhxuXw82hbG9z0r4tB5gx9EXg7z6meTM+5fopQ/j8yLulLpNWfvQ4q2qkxSVNAwaAMJuVIfcMIDLORkR0OBHR4YRFWrlpxkjaXlG2ZRZFILaEk3COp53glbGzsObZiM1NoK69Kea8cF4e9zYbfvuT5cuXM2vWLK7tPIz+LYcy7aYnue/yadzR7kEyjhz370cpxe4/9rL667UcOZBW6Dhut5uVX/zKjKEv8swN/2T9sj9RSnFw1yG2rN5B7snTF2IPzaS3bmfwxP6ER4YhIjRsVY+nFjxCi0uahvR6l8tFSkoKjogcknOScCpvIMkjh+Mcw4SZBFNdWtguJDo9gfkvfcOhPakB9xVdI4rHP3+g6IMFiZeZR47zxPCXycvOwxRgpm3QujjduJxunHYXLqc3Y+2nz33F3k1JJd6XVv50H0A189jA5/jjh03+NliT2UiNOnHM3fJPzBYTm1Zuw+3y0OayVljCLCyas4y37n2v1B3EbXpegMftJr5uHEPuuZoLuhVcL8jj8WAwGMjKyCb9UAZ1miaybN5PzLr//YA5YMY+eT1X33UVc5+dxwevfMIJeyYe3DTmfMwWM/FtIxkw6QpsVhv/fewrMvdnEWYKx+300Gt0DybPnoDBYEApxYyhL/L79xv9x7FGWIiIjiDneA5GsxG3y8Ptz49m0N39S1V3pRQet6fYUTt2u92fzO7QoUN89dVXHD161N/0svCtZViPRhMhkXiUB1AYxIjBZMBgMOBxezAYBIPRwF2v3cLVt/f2H3vX73vIzc7j/E7Nmf3APJa8u7zQhKvzOzX3LvKOdzRPTlZuwP6CCy49jy2rdpTqfTidwWjghilDGPvk9eWyP60g3QegFenxLx7gs5cWsHjO99jzHHQf0ombn7iOcJt3VafTx+H3GNaFt+97v1THMpoNbPttJ848JyLw68LfuevVsXQd2JGPnv6CHz9bReaRE39v7xvl0q5Xm4DzCtxON7nZuURGRrLxqx3UcCQSRwJuXBjEgNvpZs+GfaQeOsJXsxeSsicVj8eDERON5TyWf7wKSx0j3QZ3YO+GA6xa+gvOHDdGTBjFiD3H8Xezja8P952HP6Rhq/qlmp/gdDrJzs7GZDIRHR2N3W5nxYoVZGVlkZ2dTWZmJunp6fTt25euXbsSERFBVFQUzZs3JzMpi5xUB3fe3pLPX/4Gl8Nbx1M8Lg8evCdqjxtwunlr0n/oNrAjJ9KzmXr1s5xIy0IMgsftYeKb43A53Xz/4Qp/QBozfQQjHxiIPddOdmYOB3em8PjgFzh5/PQ1jym3k7/fmfu7s1rRVwBaUGu/28BTI15GAXnZoTWLRMXZyMuxF+oQNVmMoAiY5vcUs8WEy+UuNC/BGmHhxR9m0KpzC25oMIG05PRCr7WEmXlzzUzuav8QOY5cHOThwUO0ePsbDpuT6HlzF/ZuTGLbb7sACCOCeuLNSnpYHcCNyxsUMGLAQLvubfn3yjcBWLp0KXl5eQXy/zRo0ICOHTuilGLevHlkZWWRlZWF3e69sujSpQv9+vXD5XIxc+ZMoqKiCqSLONWfAd7lEO+//HEO7UnF5XBhtBjJyy68AHogYTYrd7xyM/NmzCfjcEaB1AwGg2A0G7GEW+gxtAt3vHxTgfz/4F00/fr6E4K29ednMBowGA1YwszYc+yISLGfLXg/ozd+nanH/VcQfQWglUlq0lEyUjNp1Lo+4ZHhdOx7MfNT5/J/H6/itTvnBP0DB8g+nhNwYllxS0+e4iwi/UCTixpyfifvbNquAzuweO4PhdYzjk2I4XhaFh4PWMSKhYJ5dxIcDdj138N0G3op2b+7cTgd3lw4PkaMeHDjwoEdNx7cHEg54H/+t5Vr2fjzZpx2F00uakijVg2w2bwnUhHBbDaTmJhIs2bN/Cf6Uyd3k8nEtGnTfLl4lP81+c156AMObE/2vwdFvRcBiXBw52HysvMK5eXxeBQeuwun3cXyj1Zy9OAxnlsyDfA2F237dSfphzPpPeYyFs/9IfRjAjXr1SA78yRdB3ag8QUNWfD2d2SnZxObEEPz9k1Ys+iPQq+xhFdM9lWtZHQA0PyyMrJ5cvjLbP1lByaLCbfLw81PjGTE/QOxhlvpd+uV/O+1RezdtD/ovipiVnFacrr/hDlm+ghWf72W7MyT2HMcGM1GzBYTA+/qy9SrAy96A2AQA55cRWZSFpHmGBynJTyrJXUL3DdbTYwcPQiAhXOW8dsrW3E6PHjcsHvzEWJ6JdL7nt7+7UeNKnopQ4DMoyd44+53WL1gHcqj6NjvYia9PZ5a9eMB+PGTVSU76efjdrmpVT8uaOuKI8/Jxp+2sGdTEpGxNh7u/SRpKRkYDILD7sRgMuAJkgkUwGAygILDe48AsPqrtfzxw2Zmb3iJuMQYzFYzE9o9WOh1TruLOQ/O48mvHi5NNbVypJuANL9H+j7Fnz9tLTDtP8xm5dGPJtP1Wu8V5YGdKYxrPblUJ/j8v3xLI8xm5ZusD/33Tx4/yeK5P/DLgnVkZ56kRp04dqzZTXZm8IR4MTWjmPjGOF4a97Z/CKzb6cbjUf4mEINRACE2IYauA9uz7P2fCs3wDbOF8ehHk/zvT3HcLje3tppEalKav4/DYDQQlxjD+7vewBpu5Rrb6CLzLeVnMhv94/RPfRYigtFkwO3yhPQ+JzaqhS02gn2bDxQImEaz0duUU0wgMlu9PxBOD7Qms5GrJ/Rm4uvjsOfaGRh9U8BgfPpnqZWfkjQB6WGgGgDphzPYuGJboT/6vJN2Pnvpa//9GrVjMRhL9rU5tQJYnWaJZZpv0LrreezfnszWX3Zgz7Vji7ERHR/FznV/kbT1IOuX/hnSyR8gvm4cPUd2Y37qXB797ySmz7+fLzPe45lFU+h89SXYYiIQ8Y6yST+Uwbf/Xh5wglfeyTx++mx1SMdc8+0fZBw5XqCD2+P2kH44kwltH2DZvJ/ofE37gO9R/qYik9lIbGIsRrOxQCBWSuFyukMOskcPHmPvxv2FTtBup5vI2IiAn7M1wsKkt2/n+WXTCbMVTmvtcrrZtGKbr5ymIkdAhUeGhVRGrWLpAKAB3mXzTJbAf6wZh/8eWx8WYcVsLlnLocli4rVVz/Dejtep27z4VckK8J3zDEYD1ggrR/Yf5a4ODzGl/zMMT7yNBbOW8sbEf2PPdZQ41UHS1mRubHoXW1btoPPV7Wnfuy1mi5l2V17Erc+M8iU1y3eiLuJXtYhgjQgtv/+B7ckBM2sqjyJ592Fev/sdPB4PNerEEeY7QYbZrMTWimbA7b2IS4whOj6KvrdcSYtLmgTtrBUR6p9XF0tY4PTUHnfRVwrR8VF8mjKH4fdfS1R8pP9K5a5Xb+GaCX2o3TghYFOViFCvRR3AmzTu8uu7YT5t7WdLuIVr7+pbbNm1yqH7ADQA6resE3AWrdFspEPftn/fNxkZeHdfvv7XkgIzXU0WU5FNBrG1ov0jPi4d1IlPtn8VtDxiEC7q0YoTx7I4r0MzNq3cTspfqQVO9LPufS+0qxGh0LBDt8vNkaQ0Zgx9gddXP+sv3+8/bOKf42cVqFtxLOFm+t5yRfAN8SZDs4Sbyc0K3BGed9LOb9+s59VVT5O05SB/bdxH49YN6HldN8JtYUyeNd6/7ahGdwRthlNKkZWezWurn+GerlNDHt1jtproMbQzsbVimPDiTYx/YQyOPAeWMIv/O1Krfjzte7Vh/bKNBfZrCTdz3UOD/Pf/8cY40g6ms3W1t1/JaXdy6aCOjJpSslnRWsXQVwAaAGaLmTv/ObbAr1mTxURkTATXPzKkwLa3PjOKfrdeiSXMQlhkGOGRYYx98jquHt/Ln/r3FGuEleH3XeO/f90jg0PKO6Q8iplLpvHOxlcY/I8BpB/OKPQr32l3Ys8NPETSYDQQFumtS3HpIRx5Tj570dvEtfa7DUwf+Jy/UzMQk9lIRFQ4YTYrZquZ0VOH0bpLy6D1AejQt603/UUx1Xc6XHz95hIatqrHjdNH0KpLC04EWNS8dpOEkI7pyHVgMBi49s4+mCyFf+/ZYiKwhJv9gdQaYaVmvXiG3z/Qv42IYA23FnofH/14Mt2HdsZsNWMJMxNfJ45HP5pcYN2D8MhwXlg2nbd/f4EpH97Du9te49GPJoec0lqrWGW6AhCREcAMoBXQSSkVsMdWRPoBrwFGYK5S6rmyHFerGP1uuZI6TROZ/9ICjh44RrteFzHygYGFcvYYTUYmvj6OcTNHk5l6nPh6NbBYzTjyHGSlZ/PLwvW++06uvv0qBk38eyZtZIyNJ79+mCeGvljscNK6zWpj8TUdZB49UfQJo4gfwVE1bBz3nTiL+6WsPIqDO1MAbx7/YB2w3Yd1pvuQLuSdzKN97zbUrBdf5LZ7NyXx4dNfsPuPvTRqXZ/RU4fRvF1jUv46XGw7/dL3f+Sn+aux5zgwWUwYDEKj1vV5/IsHSWxUC4DRU4cxZeXTxS7DCN6A8t9nv2Dvn0mFrtBMZiOTZo2naZtGLHjrO44kHaVD37b0ufnykJZgDLeF8eh/J5GbncvJE7ne/qEiVvFqcF49GpxXL+g+tcpVplFAItIK8ACzgQcCBQARMQI7gd7AQWAtcINSamuw/etRQGenY4cyOLI/jXotahe5HqvH42Hdkg0s++AnVi9YW6Bt3BJuZsYXD9KxXzvAOznqurq3F7vecakJtOnRmkET+/HMqFeDDn+s0yyRebveDLrb7Wt28cCVf6+dLOJd9tLlCLwgTzAGg1CzQTx3v3YrfyzfTFScjc9f/obcIBPziht5ZbKYqN0kgbfWPe+fCa6d/UoyCqhchoGKyI8UHQC6AjOUUn1996cAKKVmBtuvDgDnPqUUX7y6kI9nfsmJtCxqN0lg/Is30WNo5wLbffzcl3z09Bfk5YQ2K7YkTGYjRrPJ25wU5M8hMs7GRd1bcWGPVgy47SoiY20Bt5vcfRpbVpdv+gQxCmazqVwDoTXCwriZoxnyjwHltk+tap1pAWA40E8pdZvv/higs1Jq4unb+p4fD4wHaNiwYfukJJ01sLpwu90YjUW3Da9d8gf/e20x677bUImlOo2vQ9kabiEiJoK31j1Pzbo1/E8rpXDkORhS45YSpVQoT2GRVuw5jpDnalzS6yKeXzq9gkulVZZynQcgIt+LyOYA/wYFe21pKKXmKKU6KKU61KpVqyIOoYXowI5knh31KqMb38m9PaeztoJPvPlP/o48B6sXrOX7D1eQlnwMgI792jHz26lcfl23gB2alcJ3TrXnOjiRdoL3H/vE+7BSPDbwOfoYR3KN7cZKP/lHx0fSc2Q3Zi6ZxteZ80rUyZqalMa+LQeCb6idc4L+FSmlepXxGMlA/qWQ6vse085g+7cnM7HzI9hP2vF4FEf2p/HEsJf4x5vj6Ds2tGGPpbV9zS6m9HvGP8vV5XRx/cODueHRoSye+wPJuw57c9MLmExGXA4XbrenYha1L4bb5eGXhesBuO3Ce9m/reK+1qcWVClKVno2K7/4lRPHsqjTNIHuQzrx8/9+CylvU8pfh5nY+RGmfnxvSDOatXNHZTQBmfB2Al+F98S/FhillNoSbL+6D6DqPDniJX7+35pCHYhRNSKZf3huhQ3jczldXFf3dk4cyy70nC02Apfd5R+pYwkz0+SiRkyePZ6M1ON89uLXHEvJ4IJLzyMrPZt1SzbgsDtLFRgMRgOId3hs96Gd+fHTVYUSzwHUbpzAQ/Mmct9lpW9CqdMkgePpWaC8s3AddiexCTEkNqrJiWPZRMZG0OKSZnz/4YoCSzIGIgYhMtbGG78+y7Rrn+NYSjpO33vgdnn8QzkD/d1H14zis0PvFNsMp535Ki0bqIgMAd4AagGLRGSDUqqviNTFO9xzgFLKJSITge/wDgN9N5STv1a1tqzeEfAk4chzcCwlnYSGFdM8501HEfhX68nMgnnqHXlO9m054E2q1vdiOva9GICcrFym9H8aRDBbvMNTS8pkNvLBnn/5h8BmZ2SzfumfBX5RWyMsXHNnH5694dUS7z+/tJR0mrZpzI3Th+PIdXDxlRcWGj3l8Xhw5Dn4/oOfih36qTzePohfFqxj7uZXWL90Iwe2J9OwdX3a926DiDCm2d2k7jta6LXOPCcHtqfQ+IKSrV2snb3KNBFMKfWlUqq+UsqqlEo8NdJHKZWilBqQb7vFSqmWSqlmSqlnylporeLVKGKRbo9HEVUjssKOa8+xB12msEB53H/nnjnlzXv+za71e7Dn2Auc/A0hLnxvMBqYPHtCgfkPD703kUYXNCAsMoyI6HAsYWa6XtuB8zs2IzPfMpSl4bS7SNp6gJia0Vw2vGvAobMGg4Hh912LyRo4rUN+9hwHf21Mwmg00ql/O4bdew0d+16MwWBARIpcotPtchMRHXz8v3bu0DOBtYBGTx1WKMeNJdzCFddfGtIkodJqc1mrgE0tRTGZTcQmRPvvezweb0rlAInbPCE0BZmsJibPnkDvMT0LPB4dH8Xb61/g2cWPctXoHnQf1oULe7Ri+9rd3oWPi9C6W8vQcgWJsH/bwWI3WTRnGe4QUkVbI6y0vKRJkc8PvWdAoURuBqOBZhc3JqFBzeBl1c4ZOheQFlD3IZ0ZN/MY7037BI9SuJ1uLhvehUlv3V6hx7XF2Lj7jVt57Y45uEPISW80Gek2uJP/vrfTOPQAkp81wkLrLi3pc3PPgM9npGYyc/RrZGVkk5dtZ/WXaxCDYDIbA+ZBCo8KY9/mA5jMRjxWU8Cg9HfBVdCml8yjJ4IGMYNBCIuw0vumy4vc5ooburNj7W6+mbUMs9WEx6NIaBDP9OIWj9fOSXo9AK1YDruTI0lHiU2IKXLSU0XYvHo7D/d+qsBi9KeGfpotJpRSRMdH8cSXD9G8XcFfu5MuncrWX3aGfCyD0UC95rW5cfoIeo7oWmQH98wxr/PTp6sLrVdstppxuwrP8DUYBY9b+bYx+dcbOJ3ZaqZF+ya8uvLpYvMWLf9oJf+cMNu/iH3+8lusZlwuNx36tOXu12+lduPguYLSUtLZufYvatSJ5byOzYs9tnb2qPSJYBVFB4Dq7cj+o8x+8APWfvsH1nAL/W+7ihumDiN5RwpGk4HGFzYMeNLauymJyT0eIzc7L+AIIEuYGVtMBBmpx4mOj+S6hwcz4v6BQU+Ag2JuIicrt9DjYhAuvuJCNq7wZjeJqx3LiaMnCs3YNZqNJDSsyaG/UjEYDSilsIZbuOrGy5jw4pigTWsup4v7ek5n78b9/hnR1ggr1z00iDHTRxT7Wq360AFAq/bSD2fw/uOfseTd5YV+mVvCLHx8cBaRsbYik5cFMiR+LNkZhRecMZqMLDz5IS6n9yrghbFvsurLNQH3ccOUIdw0YyRGk7FUv7gddic/fLiCHz9dhS3GxjV39OGSqy4q8X60c5deEUyr9mrUjuPe2RMYPW0YljAzZqsZa7gFS7iFB/5zF9E1okp08gfodeNlmK0Fu82MJiOdBrTDZDYRFmElIiqcxhc0KPLkvmzeTxzZn1aqhHAAFquZ/uOu4vml05k+/3598tfKRF8BaOe85N2H+G3h75itJroP7UxcYmyp9pObnctDvZ9i3xbvGrpGk4H4OnG8suIp4vINrUxLPsYNDe4ocj9hEVYs4WbufmMcV17fvVRl0bSi6CYgTasgSik2/7ydPRuTqNeiDpf0uijglcTwxHEcP3qi2H1ZIyw8991jXHjp+RVVXK0a0k1AmlZBRLxLVQ66ux8d+rQtshlp1KNDg47/d+Q6mP/SgooopqaFRAcATasAQ+4ZwOB/9McSbikyEChFsctPalpF0wFA0yqAiHDbzNF8njqXl5Y/jiXcUmgbk9lI2ysuqILSaZqXDgCaVoHCI8M5v1MLRk0ZUiD9gsFoIDwqnJEPDCzm1ZpWsXQqCE2rBKOnDad+y7p89tICMlIzad+7DWOmjyh2UXlNq2g6AGhaJek5shs9R3ar6mJomp9uAtI0TaumdADQNE2rpnQA0DRNq6Z0ANA0TaumdADQNE2rpnQA0DRNq6Z0ANA0TaumdADQNE2rpsoUAERkhIhsERGPiBSZflRE9onIJhHZICI6v7OmadoZoKwzgTcDQ4HZIWx7hVIqrYzH0zRN08pJmQKAUmobUKq1TTVN07SqVVl9AApYKiLrRWR8JR1T0zRNK0bQKwAR+R6oHeCpqUqpr0M8TnelVLKIJADLRGS7UmpFEccbD4wHaNiwYYi71zRN00oqaABQSvUq60GUUsm+/4+IyJdAJyBgAFBKzQHmgHdN4LIeW9M0TQuswpuARMQmIlGnbgN98HYea5qmaVWorMNAh4jIQaArsEhEvvM9XldEFvs2SwR+FpE/gTXAIqXUkrIcV9M0TSu7so4C+hL4MsDjKcAA3+09QNuyHEfTNE0rf3omsKZpWjWlA4CmaVo1pQOApmlaNaUDgKZpWjWlA4CmaVo1pQOApmlaNaUDgKZpWjWlA4CmaVo1pQOApmlaNaUDgKZpWjUlSp25CTdF5CiQVM67rQmc7SuT6TpUvbO9/KDrcKYo7zo0UkrVCmXDMzoAVAQRWaeUKnL94rOBrkPVO9vLD7oOZ4qqrINuAtI0TaumdADQNE2rpqpjAJhT1QUoB7oOVe9sLz/oOpwpqqwO1a4PQNM0TfOqjlcAmqZpGtUgAIjICBHZIiIeESmyp11E9onIJhHZICLrKrOMwZSgDv1EZIeI7BaRRyqzjMGISA0RWSYiu3z/xxWxndv3GWwQkQWVXc4A5Sn2PRURq4h86nv+NxFpXPmlLF4IdRgrIkfzve+3VUU5iyIi74rIEREJuJa4eL3uq99GEbmksssYTAh1uFxEjuf7DKZXSsGUUuf0P6AVcB7wI9ChmO32ATWrurylrQNgBP4CmgIW4E+gdVWXPV/5XgAe8d1+BHi+iO2yq7qsJXlPgbuAWb7b1wOfVnW5S1GHscCbVV3WYupwGXAJsLmI5wcA3wICdAF+q+oyl6IOlwMLK7tc5/wVgFJqm1JqR1WXoyxCrEMnYLdSao9SygF8Agyq+NKFbBDwvu/2+8DgKixLqEJ5T/PX63PgKhGRSixjMGf69yIopdQKIL2YTQYB85TXr0CsiNSpnNKFJoQ6VIlzPgCUgAKWish6ERlf1YUphXrAgXz3D/oeO1MkKqUO+W4fBhKL2C5MRNaJyK8iUtVBIpT31L+NUsoFHAfiK6V0oQn1ezHM13zyuYg0qJyilZsz/bsfqq4i8qeIfCsiF1TGAU2VcZCKJiLfA7UDPDVVKfV1iLvprpRKFpEEYJmIbPdF7UpRTnWoUsXVIf8dpZQSkaKGnzXyfQ5NgeUiskkp9Vd5l1Ur4BvgY6WUXUQm4L2iubKKy1Td/I73u58tIgOAr4AWFX3QcyIAKKV6lcM+kn3/HxGRL/FeOldaACiHOiQD+X+51fc9VmmKq4OIpIpIHaXUId/l+ZEi9nHqc9gjIj8C7fC2YVeFUN7TU9scFBETEAMcq5zihSRoHZRS+cs7F29/zdmkyr/7ZaWUOpHv9mIReUtEaiqlKjTPkW4CAkTEJiJRp24DfYCAvfVnsLVACxFpIiIWvB2SVT6KJp8FwM2+2zcDha5qRCRORKy+2zWBS4GtlVbCwkJ5T/PXaziwXPl69c4QQetwWoHG4/8AAAEGSURBVHv5QGBbJZavPCwAbvKNBuoCHM/X3HhWEJHap/qORKQT3nNzxf+QqOre8Yr+BwzB2yZoB1KB73yP1wUW+243xTs64k9gC95mlyove0nq4Ls/ANiJ9xfzmVaHeOAHYBfwPVDD93gHYK7vdjdgk+9z2ASMOwPKXeg9BZ4EBvpuhwHzgd3AGqBpVZe5FHWY6fve/wn8H3B+VZf5tPJ/DBwCnL6/g3HAHcAdvucF+JevfpsoZrTfGVyHifk+g1+BbpVRLj0TWNM0rZrSTUCapmnVlA4AmqZp1ZQOAJqmadWUDgCapmnVlA4AmqZp1ZQOAJqmadWUDgCapmnVlA4AmqZp1dT/Awl3Qiq41g5HAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# RBF kernel\n",
    "clf = svm.SVC(kernel='rbf', gamma='auto')\n",
    "clf.fit(x,y)\n",
    "Z = clf.decision_function(xy).reshape(XX.shape)\n",
    "\n",
    "# Plot decision boundary and margins\n",
    "plt.contour(XX, YY, Z, colors='k', levels=[-1, 0, 1], alpha=0.5, linestyles=['--', '-', '--']);\n",
    "plt.scatter(x[:,0], x[:,1], c=y);\n",
    "print('10-fold cv scores with RBF kernel: ', np.mean(cross_val_score(clf, x, y, cv=10)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br/>\n",
    "- **Note:** For `SVC` in scikit-learn, it tries to solve the following problem:\n",
    "\n",
    "$ \\displaystyle \\min_{w, b, \\zeta} \\frac{1}{2} w^\\top w + C \\sum_{i=1}^{n} \\zeta_i \\qquad $ subject to $ \\displaystyle \\qquad y_i \\left(w^\\top \\phi(x_i) + b \\right) \\ge 1 - \\zeta_i \\qquad $ where $ \\displaystyle \\qquad \\zeta_i \\ge 0, i = 1, 2, \\cdots, n $\n",
    "\n",
    "[References](http://scikit-learn.org/stable/modules/svm.html#svm-mathematical-formulation)\n",
    "<br/>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "**References**\n",
    "\n",
    "- Friedman, J., Hastie, T., & Tibshirani, R. (2001). The elements of statistical learning. Springer series in statistics.\n",
    "- Shalev-Shwartz, S., & Ben-David, S. (2014). Understanding machine learning: From theory to algorithms. Cambridge university press."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## SVM Excercise - Wisconsin Breast Cancer Dataset\n",
    "> Features are computed from a digitized image of a fine needle aspirate (FNA) of a breast mass. They describe characteristics of the cell nuclei present in the image. n the 3-dimensional space is that described in: [K. P. Bennett and O.L. Mangasarian: \"Robust Linear Programming Discrimination of Two Linearly Inseperable Sets\", Optimization Methods and Software 1, 1992, 22-34].\n",
    "\n",
    "## Questions - Can we find some hyperplane separating our samples such that we predict whether they are cancerous?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_breast_cancer\n",
    "from sklearn.decomposition import PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# load the breast cancer dataset \n",
    "d = load_breast_cancer()\n",
    "x = d['data']\n",
    "y = d['target']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# reduce dimensionality\n",
    "pca = PCA(n_components=2)\n",
    "x = pca.fit_transform(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVC(C=1.0, cache_size=200, class_weight=None, coef0=0.0,\n",
       "  decision_function_shape='ovr', degree=3, gamma='auto_deprecated',\n",
       "  kernel='linear', max_iter=-1, probability=False, random_state=None,\n",
       "  shrinking=True, tol=0.001, verbose=False)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# fit a SVM\n",
    "clf = svm.SVC(kernel='linear')\n",
    "clf.fit(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10-fold cv scores with linear kernel:  0.9279653876069484\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create grid to evaluate model\n",
    "xx = np.linspace(x[:,0].min()-0.5, x[:,0].max()+0.5, 30)\n",
    "yy = np.linspace(x[:,1].min()-0.5, x[:,1].max()+0.5, 30)\n",
    "YY, XX = np.meshgrid(yy, xx)\n",
    "xy = np.vstack([XX.ravel(), YY.ravel()]).T\n",
    "Z = clf.decision_function(xy).reshape(XX.shape)\n",
    "\n",
    "# Plot decision boundary and margins\n",
    "plt.contour(XX, YY, Z, colors='k', levels=[-1, 0, 1], alpha=0.5, linestyles=['--', '-', '--']);\n",
    "plt.scatter(x[:,0], x[:,1], c=y);\n",
    "print('10-fold cv scores with linear kernel: ', np.mean(cross_val_score(clf, x, y, cv=10)))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
